Q: List the first 5 terms of the sequence whose nth term is 3n - 2". Is it arithmetic progression or…
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Q: Find the sum of the first EIGHTEEN terms of the given sequence where - is the eighteenth term. *If…
A: Topic:- sequence and series
Q: Find the 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2
A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…
Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…
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Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…
A: First term= a= 3 Common ratio= r= 6/3= 2
Q: Find the sum of the first 100 terms of the sequence: 4, -2, -8, -14, . . . .
A: GIVEN SEQUENCE, 4, -2,-8,-14....... LET…
Q: Write the first four terms of sequence whose general term is given.
A: Given that the general term is an=-13n.
Q: List the first five terms of the sequence whose 2.. nth term is 3" – 2". Let n = 0, 1, - Saved
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Q: Find the sum of the first 14 terms of the arithmetic sequence. 5, 10, 15, 20, 25, ...
A: Given:
Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…
A: Topic = Sequence
Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and…
A: To find: The first term and common difference of the arithmetic sequence. Given: The 9th term of the…
Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…
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Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,
A: Given, The sum of the first 37 terms of the arthmetic sequence 29 , 36 , 43 ,…
Q: Find the 38th term of a sequence where the first term is −11 and the common difference is 2.
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Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…
A: Explanation of the solution is given below...
Q: The sum of the first 30 terms of the sequence -11, -5, 1, 7, … is 2280. True or False?
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Q: What is the sum of an arithmetic sequence whose last term is 59 and the common difference is 8?
A: Topic - arithmetic Sequence
Q: Find the 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.
A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…
Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.
A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…
Q: Find the 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...
A: The given arithmetic sequence is 27, 11, -5, ............... The first term a = 27 difference d =…
Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…
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Q: Find the sum of the first 14 terms of the geometric sequence: , 3, -6, 12, ...
A: Given geometric sequence is,
Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…
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Q: Find the sum of the first 15 terms of the arithmetic sequence: -6, -3, 0, 3, . . . .
A: We have to find the sum of first 15 terms of the sequence: -6, -3, 0, 3, .... We know the sum of n…
Q: The sum of the first n terms of a geometric sequence is 341. If 8 a1 = and a4 = , what is 3 the…
A: As per our company's guideline, we will solve only one question at a time. Please post another…
Q: Find the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .
A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…
Q: Find the sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .
A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…
Q: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,
A: Given a geometric sequence.
Q: Find the sum of the first 19 terms of the sequence {-11, -8, -5, -2, 1, …}.
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Q: Find the 23nd term of a sequence that is given by -8, -4, 0, 4, 8...
A: Given sequence :- -8, -4, 0, 4 , 8,......
Q: State the first five terms of the arithmetic sequence tn=5(n)
A: The given nth term of the arithmetic sequence is tn=5(n)
Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…
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Q: Find the sum of the first 11 terms of the geometric sequence 4, -4, 4, .. 4
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Q: Write a recursive formula for the sequence: (8, - 16, 32, – 64, 128, ...} f, an =|1 8-(-2)"-
A: Given that: 8, -16, 32, -64, 128, ....
Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is
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Q: List the first five terms of the sequence whose n ,th term is 3" – 2“. Let n = 0, 1, : ...
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Q: What is the fifteenth term of the sequence 5,-10,20,–40,80,...?
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Q: If the sum of second and tenth terms of arithmetic sequence is equal to 12, find sum of fourth,…
A: A sequence (an) is said to be arithmetic is a2-a1=a3-a2=a4-a3=...=d(say)That is, d=an-an-1 for…
Q: Find the sum of the first ten terms of the sequence: -20, 40, -80, 160, . . . .
A: We have to find sum of first ten terms. We have -20,40,-80,160, . . . . It is a geometric series…
Q: Determine which sequence is not an arithmetic sequence. 10, 6, 2, -2, ... 0, 0.5, 1, 1.5, ... о-7,…
A: topic - arithmetic sequence
Q: Express the number 220 as the sum of four numbers that form a geometric progression such that the…
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Q: Find the 10" term of the arithmetic sequence 1, 2-, 3- ...
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Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,
A: First five terms of sequence
Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…
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Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…
A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a is the first term of the…
Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…
A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…
Q: Find the sum of the first 50 terms of the sequence 12, -12, 12, -12, ...*
A: Solution...
Q: Find the first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…
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Write the first n terms of the geometric sequence
A1=-3x^2, r=-1/x, n=5
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- A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?A machine to manufacture fasteners has a setup cost of $1,500 and a unit cost of $0.003 for each fastener manufactured. A newer machine has a setup cost of $1,750 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point. (Round your answer to the nearest whole unit.)It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game.
- A small brewery has two bottling machines. Machine A produces 75% of the bottles and machine B produces 25%. One out of every 20 bottles filled by A is rejected for some reason, while 1 out of every 30 bottles from B is rejected. What proportion of bottles is rejected?A well-known maker of jams and jellies packages its james in jars labeled ~250 milliliters. The process used to fill the jars is known to disoense an amount of jam that is Normally distrubted variable with μ = 252 milliliters and σ= 0.9 milliliters. What proportion of jars from this filling process will contain no more than 253.5 milliliters?A researcher collected how many grams of fat people on a specific diet consumed at breakfast and at lunch. The data for a sample of 8 people is shown in the table below. xx 11.3 8.2 7.2 3.6 2.3 2.5 2.7 0.4 yy 13.7 10.7 10.2 7.2 6.3 6.5 6.1 4.1 xx = grams of fat in breakfastyy = grams of fat in lunchThis data can be modeled by the equation ˆy=0.84x+4.07.y^=0.84x+4.07.Given this, how many grams of fat in lunch would be expected for a person who consumed 1.2 grams of fat at breakfast? Round to 1 decimal place.Answer =
- In the area of Russia récords were kept on the relationship between the rain Fall in inches and the yield of wheat (bushels per acre ).the data for a 9 year period is as follow. Rain fall x 13.1,11.4,16.0,15.1,21.4,12.9,9.6,18.2,18.6. yield y : 48.5,44.2,56.8,80.4,47.2,29.9,74.0,74.0,76.8 the equation of the line of least squares is given as ^y= -9.12+4.38x. How many bushels of wheat peen acre can be predicted if it’s is expected that there will be 30 inches of rain?For 30 recent Academy Award ceremonies, ages of Best Supporting Actors (x) and ages of Best Supporting Actresses (y) are recorded.The 30 paired ages yield x¯ = 52.1 years, y¯ = 37.3 years, r = 0.076, P-value = 0.691, and y^ = 33.4 + 0.0587x. Find the best predicted value (age of Best Supporting Actress in 1982), when the age of the Best Supporting Actor (x) was 44 years.A machine shop has an order for 12,000 pcs. of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php 95.00/ kg or Nickel steel alloy that cost Php 85.00 /kg may be used. The weight per piece, production per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php 1,600 every 400 pcs. Produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs. And Php 1,800.00 for every 300 pcs. produced. If the charge for the labor and other operating cost is Php 450.00/day with all other expenses being the same, determine which material should be used.
- On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.† The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days. t = time, in days I = amount ofiodine-131 0 54.00 1 49.52 2 45.41 3 41.64 4 38.18 (a) Show that the data are exponential. (In this part and the next, round to three decimal places.) Because t increases by 1 each time, to show that the data are exponential, we must show that the successive ratios (rounded to three decimal places) are the same. Because all of the ratios are equal to , the data are exponential. (b) Find an exponential model I that shows the amount of iodine-131…On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days.Suppose 24% of students at Florida University are business students. Of those, 28% are Econ majors.What percent of Florida University students are Econ majors? Round your answer to three decimal places.