Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Algebra and Trigonometry (MindTap Course List)
10E11-16 nth term of an Arithmetic Sequence Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term? a=9,d=412E11-16 nth term of an Arithmetic Sequence Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term? a=0.7,d=0.211-16 nth term of an Arithmetic Sequence Find the nth term of the arithmetic sequence with given first term a and common difference d. What is the 10th term? a=14,d=3215E16E17E18E17-26 Arithmetic Sequence? The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? If so, find the common difference. 16,9,2,4,20E21E22E23E17-26 Arithmetic Sequence? The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? If so, find the common difference. ln2,ln4,ln8,ln16,17-26 Arithmetic Sequence? The first four terms of a sequence are given. Can these terms be the terms of an arithmetic sequence? If so, find the common difference. 2.6,4.3,6.0,7.7,26E27E28E29E30E27-32 Arithmetic Sequence? Find the first five terms of the sequence, and determine whether it is arithmetic. If it is arithmetic, find the common difference, and express the nth term of the sequence in the standard form an=a+(n1)d. an=6n1032E33E34E35E36E33-44 Terms of an Arithmetic sequence Determine the common difference, the fifth terms, the nth terms and the 100th term of the arithmetic sequence. 4,9,14,19,38E39E40E41E42E33-44 Terms of an Arithmetic sequence Determine the common difference, the fifth terms, the nth terms and the 100th term of the arithmetic sequence. 2,2+s.2+2s,2+3s,44E45E46E47E48E45-50 Finding Terms of an Arithmetic sequence Find the indicated terms of the arithmetic sequence with the given description. The first term is 25 and the common difference is 18. Which term of the sequence is 601?50E51E52E53E51-56 Partial Sum of an Arithmetic Sequence Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a=2, d=23, n=2551-56 Partial Sum of an Arithmetic Sequence Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a1=55, d=12, n=1056E57E58E59E57-64 Partial Sums of an Arithmetic Sequence A partial sum of an arithmetic sequence is given. Find the sum. 89+85+81++1357-64 Partial Sums of an Arithmetic Sequence A partial sum of an arithmetic sequence is given. Find the sum. 0.7+2.7+4.7++56.762E63E64E65E66ESpecial Triangle Show that a right triangle whose sides are in arithmetic progression is similar to a 345 triangle.68E69EHarmonic Mean The harmonic mean of two numbers is the reciprocal of the average of the reciprocals of the two numbers. Find the harmonic mean of 3 and 5.71EPoles in a Pile Telephone poles are being stored in a pile with 25 poles in the first layer, 24 in the second, and so on. If there are 12 layers, how may telephone poles does the pile contain?Salary IncreasesA man gets a job with a salary of 30,000 a year. He is promised a 2300 raise each subsequent year. Find his total earnings for a 10-year period.74ETheater Seating An architect designs a theater with 15 seats in the first row, 18 in the second, 21 in the third, and so on. If the theater is to have a seating capacity of 870, how many rows must the architect use in his design?76E77E78ECONCEPTS A geometric sequence is a sequence in which the _ of successive terms is constant.2E3E4ESKILLS 58nthTerm of a Geometric Sequence The nth term of a geometric sequence is given. a Find the first five terms of the sequence. b What is the common ratio r ? c Graph the terms you found in a. an=7(3)n16ESKILLS 58nthTerm of a Geometric Sequence The nth term of a geometric sequence is given. a Find the first five terms of the sequence. b What is the common ratio r ? c Graph the terms you found in a. an=52(12)n18E9E10E11E12ESKILLS 13-22Geometric Sequence?The first four terms of a sequence are given. Determine whether these terms can be the terms of a geometric sequence. If the sequence is geometric, find the common ratio. 3, 6, 12, 24,14E15E16E17E18ESKILLS 13-22 Geometric Sequence? The first four terms of a sequence are given. Determine whether these terms can be the terms of a geometric sequence. If the sequence is geometric, find the common ratio. 12,13,14,15,20E21E22E23E24E23-28. Geometric Sequence?Find the first five terms of the sequence, and determine whether it is geometric. If it geometric, find the common ratio, and express the nth term of the sequence in the standard form an=arn1. an=14n26E27E28E29E30E29-38 Terms of a geometric sequenceDetermine the common ratio, the fifth term, and the nth term of the geometric sequence. 0.3,0.09,0.027,0.0081,...32E33E34E35E36E2938Terms of a Geometric SequenceDetermine the common ratio, the fifth term, and the nth term of the geometric sequence. 1,s2/7,s4/7,s6/7,...38E39E3946 Finding Terms of a Geometric Sequence Find the indicated terms of the geometric sequence with the given description. The first term is 112 and the second term is 12. Find the sixth term.The third term is 13 and the sixth term is 9. Find the first and second terms.The fourth term is 12 and the seventh term is 329.Find the first and nth terms.The third term is 18 and the sixth term is 9216. Find the first and nth terms.44E45E46E47E48E49-52 Partial Sums of a Geometric Sequence Find the partial sum Sn of the geometric sequence that satisfies the given conditions. a=5, r=2, n=650E51E52E53E53-58 Partial Sums of a Geometric Sequence Find the sum. 112+1418+151253-58 Partial Sums of a Geometric Sequence Find the sum. 15+3060+96056E57E58E59E60ESKILLS 59-64 Partial Sums of a Geometric Sequence Find the sum. k=165(2)k162E63E64E65E66ESKILLS 65-76 Infinite Geometric Sequence Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. 113+19127+68E69E70E71E72ESKILLS 65-76 Infinite Geometric Sequence Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. 33(1.1)+3(1.1)23(1.1)3+74E75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90E91EMusical FrequenciesThe frequencies of musical notes measured in cycles per second form a geometric sequence. Middle C has a frequency of 256, and the C that is an octave higher has a frequency of 512. Find the frequency of C two octaves below middle C.93EGeometric Savings Plan A very patient women wishes to become a billionaire. She decides to follow a simple scheme: She puts aside 1 cent the first day, 2 cents the second day, 4 cents the third day, and so on, doubling the number of cents each day. How much money will she have at the end of 30 days? How much days will it take this women to realize her wish?St. Ives The following is a well-known childrens rhyme: As I was going to St. Ives, I met a man with seven wives; Every wife had seven sacks; Every sack had seven cats; Every cat had seven kits; Kits, cats, sacks, and wives, How many were going to St. Ives? Assuming that the entire group is actually going to St. Ives, show that the answer to the question in the rhyme is a partial sum of a geometric sequence, and find the sum.96E97E98EGeometry The midpoints of the sides of a square of side 1 are joined to form a new square. This procedure is repeated for each new square. See the figure. a Find the sum of the areas of all the squares. b Find the sum of the perimeters of all the squares.Geometry A circular disk of radius R is cut out of paper, as shown in figure a. Two disks of radius 12R are cut out of paper and placed on top of the first disk, as in figure b, and then four disks of radius 14R are placed on these two disks, as in figure c. Assuming that this process can be repeated indefinitely, find the total area of all the disks.Geometry A yellow square of side 1 is divided into 9 smaller squares, and the middle square is colored blue as shown in the figure. Each of the smaller yellow squares is in turn divided into nine squares, and each middle square is colored blue. If this process is continued indefinitely, what is the total area that is colored blue?102E103E104E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18EAPPLICATIONS MortgageDr. Gupta is considering a 30-year mortgage at 6 interest. She can make payments of 3500 a month. What size loan can she afford?APPLICATIONS MortgageA couple can afford to make a monthly mortgage payment of 650. If the mortgage rate is 9 and the couple intends to secure a 30-year mortgage, how much can they borrow?21E22E23E24E25E26EInterest Rate An item at a department store is priced at 189.99 and can be bought by making 20 payments of 10.50. Find the interest rate, assuming that interest is compounded monthly.28E29E30E31E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E1E2E3E4E5E6E7E8E9E10E11E12E13E14E15E16E17E18E19E20E21E22E23E24E25E26E27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E29-42 Terms of a Binomial Expansion Find the indicated terms in the expansion of the given binomial. The term that does not contain x in the expansion of (8x+12x)843E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E