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All Textbook Solutions for Precalculus
Suppose that two fair dice are rolled. Determine the probability that a. The sum of the numbers on the dice is 6 . b. The sum of the numbers on the dice is greater than 9 . c. The numbers on the dice form a sum that is a multiple of 5 .For a recent season, the batting average for baseball player Jose Iglesias was 0.306 . (This means that the probability that Iglesias will get a hit on a given time at bat is 0.306 .) a. Determine the probability that Iglesias will not get a hit on a given time at bat. b. If Iglesias is at bat three times in a game, what is the probability that he will get a hit all three times? c. If Iglesias is at bat three times in a game, what is the probability that he will not get a hit on any of the three times at bat?Suppose that 15 lightbulbs are in a cabinet and that 4 are defective. If three bulbs are chosen at random, a. What is the probability that all three will be defective? b. What is the probability that all three will be good? c. Why do the probabilities from parts (a) and (b) not add up to 1 ?Suppose that a lottery game has the player select 5 distinct numbers from 1 to 30 , inclusive. The player wins by choosing numbers that match those randomly selected in a drawing. a. What is the probability that a player will win if the numbers do not have to be selected in any particular order? b. If the player has to pick the correct 5 numbers in a specific order, what is the probability that the player will win?For a recent year, the Centers for Disease Control reported that the probability that a 50-yr -old will live to age 51 is 0.9959 . In a group often 50-yr -olds, what is the probability that all ten survive to the age of 51 ?For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person has elevated blood pressure.For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person is a nonsmoker.For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person has elevated blood pressure or is a nonsmoker.For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person has normal blood pressure or is a smoker.For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person is a smoker or has elevated blood pressure.For Exercises 94-99, use the data in the table categorizing smokers and nonsmokers according to their blood pressure BP levels. If one person is chosen at random, find the probability of the given event. The person is a nonsmoker or has normal blood pressure.For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page 1071. If one card is drawn at random from a standard deck, what is the probability that it is an 8 or a club?For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page 1071. If one card is drawn at random from a standard deck, what is the probability that it is a red card or a 5 ?For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page 1071. If two cards are drawn at random with replacement from a standard deck, what is the probability that both are hearts?For Exercises 100-103, refer to the sample space for a card drawn from a standard deck. See page 1071. If two cards are drawn at random with replacement from a standard deck, what is the probability that both are kings?Write the first six terms of the sequence defined by a1=2,a2=3,an=an2+an1 for n3 .Simplify. 3n+1!3n1!For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the sequence is arithmetic, determine d . If the sequence is geometric, determine r . c. Write an expression an for the apparent nth term of the sequence. 0.139,0.00139,0.0000139,For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the sequence is arithmetic, determine d . If the sequence is geometric, determine r . c. Write an expression an for the apparent nth term of the sequence. 0.52,0.68,0.84,1.00,For Exercises 3-5, a. Determine whether the sequence is arithmetic, geometric, or neither. b. If the sequence is arithmetic, determine d . If the sequence is geometric, determine r . c. Write an expression an for the apparent nth term of the sequence. 35,625,9125,12625,Write the first four terms of the geometric sequence with a1=4 and r=32 .Write the first five terms of the arithmetic sequence with a1=10 and a20=67 .Find the 78th term of an arithmetic sequence with a1=64 and d=11 .Find the 6th term of an arithmetic sequence with a1=3 and r=2 .Find the number of terms in the arithmetic sequence. 15,19,23,27,,679Find the number of terms in the geometric sequence. 16,8,4,2,,116Given an arithmetic sequence with a12=21 and a50=97 , find a1 and d .Given an arithmetic sequence with a3=20 and a8=640 , find a1 and r .For Exercises 14-18, evaluate the sum if possible. 32+34+38+316+For Exercises 14-18, evaluate the sum if possible. k=1543k+7For Exercises 14-18, evaluate the sum if possible. i=16432i1For Exercises 14-18, evaluate the sum if possible. k=14k!For Exercises 14-18, evaluate the sum if possible. i=11265i1Suppose that a county fair has an estimated 50,000 people attend over a 2-week period. Admission to the fair is 5.00 . In addition, suppose that each person spends an average of 10 on food, drinks, and rides. a. How much money is initially infused into the local community for admission, food, drinks, and rides? b. If the money is respent in the local community over and over again at a rate of 65 , determine the total amount spent. Assume that the money is respent an infinite number of times. Round to the nearest dollar.An employee invests 400 per month in an ordinary annuity. If the interest rate is 5.2 , find the value of the annuity after 25yr .Lakeisha wants to put down new tile in her home. The tile costs 3.50/ft2 and labor is 4.00/ft2 . Write the nth term of a sequence representing the cost to tile an n by n square foot area where n is an integer and n1ft .How many days will it take Johan to read a 920 -page book if he reads 20 pages the first day, 25 pages the second day, 30 pages the third day, and so on?For Exercises 23-25, use mathematical induction to prove the given statement for all positive integers n . 6+10+14++4n+2=n2n+4For Exercises 23-25, use mathematical induction to prove the given statement for all positive integers n . 1+5+25++5n1=145n1For Exercises 23-25, use mathematical induction to prove the given statement for all positive integers n . 2 is a factor of 7n5 .For Exercises 26-27, expand the binomial by using the binomial theorem. x2+34For Exercises 26-27, expand the binomial by using the binomial theorem. 4c2t45For Exercises 28-29, find the indicated term of the binomial expansion. 2t+v210 ; eighth termFor Exercises 28-29, find the indicated term of the binomial expansion. 3x+y27 ; Term containing y6 .Evaluate 13P5 and 13C5 .Explain the difference between a permutation and a combination of n items taken r at a time.A musician plans to perform 9 selections. In how many ways can she arrange the musical selections?How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from each category is made? Assume that all items fashionably match.In how many ways can the word HIPPOPOTAMUS be misspelled?Suppose that a jury pool consists of 30 women and 26 men. a. In how many ways can a jury of 12 people be selected? b. In how many ways can a jury of 6 women and 6 men be selected? c. What is the probability of randomly selecting a jury of 6 women and 6 men? d. What is the probability of randomly selecting a jury of all men?A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3 questions from the review sheet to put on the test. In how many ways can the professor choose 3 questions from 10 questions?After a service call by a plumber, the company follows up with a survey to rate the service and professionalism of the technician. The survey has 6 yes/no questions and 4 multiple-choice questions each with 3 possible responses. In how many different ways can a customer fill out the survey?Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be selected if each is to receive a 20 gift certificate to a restaurant? b. In how many ways can 4 people who bought tickets be selected if the first person wins a 10 gift certificate, the second person wins a 25 gift certificate, the third person wins a 50 gift certificate, and the fourth person wins a 200 camera?For a recent year, approximately 36,000 people were killed in the United States in motor vehicle accidents. If the population had 300,000,000 people at that time, estimate the probability of being killed in a motor vehicle crash.A cable company advertises short wait times for customer service calls. The graph shows the wait times (in seconds) for a sample of customers. Based on the data given, if a customer is selected at random, find the probability that a. The customer will wait less than 30sec . b. The customer will wait at least 30sec . c. The customer will wait at least 90sec but less than 120sec . d. The customer will wait more than 150sec .If two fair dice are thrown, find the probability that the sum is between 6 and 8 , inclusive.Suppose that two cards are drawn from a standard deck with replacement. What is the probability that an ace is selected, followed by a heart?For a recent year, 31.9 of Americans living below the poverty level were not covered by health insurance. If three people were selected at random from this population, what is the probability that all three would not have coverage?For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery store according to the gender of the customer. If one person is chosen at random, find the probability of the given event. The customer is female.For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery store according to the gender of the customer. If one person is chosen at random, find the probability of the given event. The customer is male or paid by check.For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery store according to the gender of the customer. If one person is chosen at random, find the probability of the given event. The customer paid by credit card or by cash.For Exercises 44-47, use the data in the table categorizing the type of payment used at a grocery store according to the gender of the customer. If one person is chosen at random, find the probability of the given event. The customer paid cash or was female.1CRE2CRE3CRE4CREa. Write an expression for the distance between t and 5 on the number line. b. Simplify the expression from part (a) for t5 .Simplify without using a calculator. 6.010139.01082.0106For Exercises 7-10, simplify the expression. 274/3For Exercises 7-10, simplify the expression. x+523x2For Exercises 7-10, simplify the expression. 4x263x1For Exercises 7-10, simplify the expression. i127For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 2x2x14+4=xFor Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. x2+x214x2+x+24=0For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 3x5=2x+1For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 2tanx5=0 for 0x2For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 0x+76For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 2x+1x+41For Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. log42x+7=2+log4xFor Exercises 11-18, solve the equation or inequality. Write the solution set to the inequalities in interval notation. 5ex+1100=0Given fx=2x35x228x+15 , a. Find all the zeros of fx . b. Identify the x-intercepts of the graph of f . c. Determine they-intercept of the graph of f . d. Graph y=fx . e. Solve the inequality 2x35x228x+150 .An object is launched from a height of 4ft at an angle of 60 from the horizontal with an initial speed of 112ft/sec . Define a coordinate system with the origin at ground level directly below the point of launch. Use an acceleration due to gravity of 32ft/sec2 . a. Write parametric equations to model the path of the object t seconds after launch. b. Determine the maximum height of the object. c. How far from the starting point will the object hit the ground? Round to the nearest foot.Solve the triangle with sides of length a=5cm,b=7cm , and c=10cm . Round the measures of the angles to the nearest tenth of a degree.For Exercises 22-25, graph the equation. y29x216=1For Exercises 22-25, graph the equation. x+124+y229=1For Exercises 22-25, graph the equation. y=log2x+3For Exercises 22-25, graph the equation. yx+1forx1x+1forx1Explain how the graph of fx=2x1+3 is related to the graph of y=x .27CREGiven gx=5x1 , a. Is g a one-to-one function? b. Write an equation for g1x .Given fx=x3x27x+15 , a. Is 2+i a zero of fx ? b. Is x+3 a factor of fx ?Given rx=3x2+2x25x14 , a. Determine the vertical asymptote(s). b. Determine the horizontal or slant asymptote if either exist.The population of a city was 320,000 in the year 2000 . By 2012 , the population reached 360,800 . a. Write a model of the form Pt=P0ekt to represent the population Pt for a time t years since 2000 . b. Approximate the population in the year 2015 assuming that this trend continued. Round to the nearest 100 people. c. Determine the amount of time for the population to reach 400,000 if this trend continues. Round to the nearest tenth of a year.Write the expression in terms of logx,logy , and logz . logx3y5zSimplify. log2116Given 43,4 in rectangular coordinates, find two representations in polar coordinates: one with r0 and one with r0 .For Exercises 35-37, solve the system of equations. 2x5y=133x+2y=3For Exercises 35-37, solve the system of equations. 4x2z=46y+5z=87x3y=13For Exercises 35-37, solve the system of equations. 2xy=6x2+y=9Use Gaussian elimination or Gauss-Jordan elimination to solve the system of equations. 2x9y+16z=15x+yz=4x2y+5z=1Use Cramer's rule to solve the system. 13x2y=115x+3y=6Graph the solution set. x2+y216yx2+4For Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 5A+2BFor Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 3CAFor Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 AFor Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 CFor Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 CDFor Exercises 41-46, refer to the matrices given and perform the indicated operations, if possible. A=4359 C=140361257 B=1637 D=510846 ADGiven A=121013102 , find A1 .Use the inverse matrix from Exercise 47 to solve the system of equations. x+2yz=5y+3z=13x+2z=5Given y+22=8x1 , a. Determine the vertex of the graph of the parabola. b. Identify the focus. c. Write an equation for the directrix.Determine whether the sequence is arithmetic or geometric and find the value of the common difference or the common ratio. a2,a5,a8,a11,Find the 500th term of an arithmetic sequence with a1=6.9 and d=0.3 .For Exercises 52-53, find the sum. k=1745k+3For Exercises 52-53, find the sum. i=1862i1Find the sum if possible. 6+2+23+29+Evaluate the expressions. a. 8! b. 1211 c. 15P3Expand the binomial. 3xy25Simplify. 3n1!2!3n+1!In how many ways can 5 children be arranged in a line for a photograph?Suppose that four people are to be randomly selected from a group of 8 women and 5 men. What is the probability of selecting 2 women and 2 men?If one card is selected from a standard deck of cards, what is the probability that the card selected is a diamond or an ace? (Hint Refer to Figure 11-12 from page 1071.)Write the first four terms of the sequence defined by the nth term. a. bn=2n+3 b. dn=1nn22SPEvaluate. a. 9!2!7! b. n1!n!4SP5SP6SP7SP1PE2PE3PEFor n1 , the expression represents the product of the firs n positive integers nn1n221 . Furthermore, by definition, 0!= .5PE6PE7PEFor Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence. (See Example 1) bn=n3+5For Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence. (See Example 1) cn=1212nFor Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence. (See Example 1) dn=6414n11PE12PE13PEFor Exercises 7-14, the nth term of a sequence is given. Write the first four terms of the sequence. (See Example 1) cn=lne2n15PEIf the nth term of a sequence is 1n+11n , which terms are positive and which are negative?17PEFor Exercises 17-20, the nth term of a sequence is given. Find the indicated term. bn=5n1 ; find b2019PEFor Exercises 17-20, the nth term of a sequence is given. Find the indicated term. dn=6n+7 ; find d20421PEFor Exercises 21-24, match the sequence or function with its graph. fx=x23PE24PEFor Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2) b1=3;bn=3bn1+4For Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2) a1=11;an=4an1+327PEFor Exercises 25-30, write the first five terms of the sequence defined recursively. (See Example 2) d1=30;dn=13dn1129PE30PE31PEThe number in the sequence defined by a1=1,a2=3 , and an=an1+an2 for n3 are referred to as Lucas numbers in honor of French mathematician Edouard Lucas 18421891 . a. Find the first eight Lucas numbers. b. The formula Ln=1+52n+152n gives the n th Lucas number. Use a calculator to verify this statement for n=1,n=2 , and n=3 .33PE34PE35PE36PE37PEFor Exercises 33-44, evaluate the expression. (See Example 3) 12!9!39PEFor Exercises 33-44, evaluate the expression. (See Example 3) 10!6!4!41PEFor Exercises 33-44, evaluate the expression. (See Example 3) n1!n!43PE44PE45PEFor Exercises 45-48. the nth term of a sequence is given. Find the indicated term. (See Example 4) bn=4nn+1! ; find b347PE48PE49PE50PE51PEFor Exercises 49-56, find the nth term an of a sequence whose first four terms are given. (See Example 5) 811,922,1033,1144,53PE54PE55PE56PE57PEFor Exorcises 57-70, find the sum. (See Example 6) i=152i+759PE60PE61PEFor Exorcises 57-70, find the sum. (See Example 6) n=2413n63PEFor Exorcises 57-70, find the sum. (See Example 6) i=150465PE66PE67PE68PE69PE70PE71PE72PE73PE74PE75PE76PE77PE78PE79PE80PEFor Exercises 75-86, write the sum using summation notation. There may be multiple representations. Use i as the index of summation. (See Example 7) 1319+12718182PE83PE84PE85PEFor Exercises 75-86, write the sum using summation notation. There may be multiple representations. Use i as the index of summation. (See Example 7) 1x+1+2x+2+6x+3+24x+4+120x+587PE88PE89PE90PE91PEFor Exercise 91-94, sue the sums i=150i2=42,925 and i=150i2=1275 and the properties of summation given on page 1013 to evaluate the given expression. i=1502i2i93PE94PEFor Exercises 95-98, determine whether the statement is true or false. If a statement is false, explain why. i=1n3i+7=3i=1ni+7n96PEFor Exercises 95-98, determine whether the statement is true or false. If a statement is false, explain why. i=1naibi=i=1naii=1nbiFor Exercises 95-98, determine whether the statement is true or false. If a statement is false, explain why. i=1naibi=i=1naii=1nbi99PE100PE101PE102PEGiven a sequence a1,a2,a3,,an , the arithmetic mean a is given by a=1ni=1nai . Use the arithmetic mean for Exercises 103-104. Consider the sequence defined by an=18,32,44,20,36,28,32,38 . Evaluate i=18aia2 .Given a sequence a1,a2,a3,,an , the arithmetic mean a is given by a=1ni=1nai . Use the arithmetic mean for Exercises 103-104. Show that i=1naia=0 .105PE106PE107PE108PE109PE110PE111PE112PE113PE114PE115PE116PE117PEUsing calculus, we can show that the series k=1n1k10.5kk approaches in 1.5 as n approaches infinity. Investigate this statement by evaluating the sum for n=10 and n=50 .Determine whether the sequence is arithmetic. If so, identify the common difference. a. 12,5,2,9,16, b. 1,4,9,16,25,a. Write the first four terms of an arithmetic sequence with first term 8 and common difference 3 . b. Write a recursive formula to define the sequence.3SP4SPFind the number of terms of the finite arithmetic sequence 16,11,6,1,,239 .For an arithmetic sequence, a11=65 and a25=149 . Find the 400th term.Find the sum of the first 50 terms of the sequence 1,3,5,7,9,Find the sum. i=1804i+39SPAn sequence is a sequence in which each term after the first is found by adding a fixed constant to its predecessor.2PEGiven an arithmetic sequence with first term a1 and common difference d , the nth term is represented by the formula an= or by the recursive formula an= for n2 .4PEThe sum of the first n terms of a sequence is called the nth sum and is denoted by Sn .6PEFor Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 15,19,23,27,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 256,268,280,292,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 9,2,13,24,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 8,0,8,16,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 18,22,27,33,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 2,4,8,16,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 4,143,163,6,For Exercises 7-14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 3,154,92,214,For Exercises 15-18, a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. (See Example 21) a1=3,d=10For Exercises 15-18, a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. (See Example 21) a1=6,d=5For Exercises 15-18, a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. (See Example 21) a1=4,d=2For Exercises 15-18, a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. (See Example 21) a1=5,d=3For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=7,d=10 b. Find a22 .For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=102,d=4 b. Find a43 .For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=12,d=5 b. Find a20 .For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=4,d=6 b. Find a18 .For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=12,d=13 b. Find a10 .For Exercises 19-24. a. Write a nonrecursive formula for the nth term of the arithmetic sequence an based on the given information. b. Find the indicated term. a. a1=23,d=12 b. Find a8 .Jim has 8 unread emails in his inbox before going on vacation. While on vacation, Jim does not read email. If he receives an average of 22 emails each day, write the nth term of a sequence defining the number of unread emails in his box at the end of day n of his vacation.Sandy has a personal trainer who encourages her to get plenty of cardiovascular exercise. In her first week of training, Sandy walks for 10min on a treadmill every day. Each week thereafter, she increases the time on the treadmill by 5min. Write the nth term of a sequence defining the number of minutes that Sandy spends on the treadmill per day for her nth week at the gym.A new drug and alcohol rehabilitation program performs outreach for members of the community. The number of participants for a 4-week period is given in the table. (See Example 3) a. Based on the data given, does the number of participants follow an arithmetic progression? b. Write an expression for the nth term of the sequence representing the number of participants, where n represents the week number. c. Predict the number of participants in week 10 if this trend continues.A student studying to be a veterinarian’s assistant keeps track of a kitten’s weight each week for a 5-week period after birth. a. Based on the data given, does the weight of the kitten follow an arithmetic progression? b. Write an expression for the nth term of the sequence representing the kitten's weight, n weeks after birth. c. If the weight of the kitten continues to increase linearly for 3 months, predit the kitten's weight 12 weeks after birth.Suppose that an object starts with an initial velocity of v0 (in ft/sec) and moves under a constant acceleration ainft/sec2 . Then the velocity vn (in ft/sec) after n seconds is given by vn=v0+an . Show that this sequence is arithmetic.30PEFind the 8th term of an arithmetic sequence with a1=2anda15=68 . (See Example 4)Find the 19th term of an arithmetic sequence with a1=11anda30=163 .Find the 35th term of an arithmetic sequence with a1=50anda22=265 .Find the 46th term of an arithmetic sequence with a1=210anda60=262 .For Exercises 35-38, find the number of terms of the finite arithmetic sequence. (See Example 5) 8,14,20,26,,320For Exercises 35-38, find the number of terms of the finite arithmetic sequence. (See Example 5) 7,16,25,34,,574For Exercises 35-38, find the number of terms of the finite arithmetic sequence. (See Example 5) 11,10.7,10.4,10.1,,3.4For Exercises 35-38, find the number of terms of the finite arithmetic sequence. (See Example 5) 9,8.4,7.8,7.2,,3939PE40PE41PE42PEFor Exercises 41-46, two terms of an arithmetic sequence are given. Find the indicated term. (See Example 6) b32=303,b54=567 ; Find b214 .For Exercises 41-46, two terms of an arithmetic sequence are given. Find the indicated term. (See Example 6) b64=456,b81=575 ; Find b105 .