8 A geometric sequence has all positive terms. The sum of the first two terms is 15 and the sum to infinity is 27. a Find the value of the common ratio. b Hence, find the first term.

Q: 13. Which geometric sequence has a common ratio of -9? O {-1, -9, 81, 729, ..} O {1, -9, 81, -729,…

A: We have to tell which geometric sequence has a common ratio of -9 the given geometric sequence are…

Q: 18. The first term of a sequence is 3 and the common difference is 4. State the general term.

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Q: 3. The geometric sequence begins -3072, 1536, -768 (a) Find the 13th and 20th terms of this…

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Q: Given the first 3 terms of a geometric sequence; 1/8, 1/2, and 2. 3. Find the 7th term. 4. Find its…

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Q: 31 For a given geometric sequence, the 3rd term, a3, is equal to and the 8th term, ag, is equal to…

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Q: 69 Find the formula for the nth term of the arithmetic sequence. 15 EGO 4, 11,.. 2

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Q: how to solve the nth term of ge

A: Given,  the geometric sequence                                             10, 2, 25, 225, 2125,  .…

Q: Find the 9th and 10th terms of the sequence a, = 5n + 3. The 9th term is The 10th term is

A: Given : an = 5n+3

Q: 2 Find the common ratio and write out the first four terms of the geometric sequence 4 Common ratio…

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Q: Find the indicated term of the geometric sequence with the given description. The first term of a…

A: By using geometric sequence formula, we calculate the value of 4th term of the geometric sequence.

Q: 5) The first, fifth, and thirteenth terms of an arithmetic sequence, where d + 0, are the first 3…

A: We have to find the common difference and common ratio

Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common…

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Q: 16. A geometric sequence has 32 as its first term, and a common ration of a) Find the 7 term. b)…

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Q: The first term of a geometric sequence is 5. The common ratio = -3. Find the 7th term. a, = a(r)-1 O…

A: It is in gp

Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: 13. The 3rd and 6th terms of a Geometric Sequence are 50 and -2/5, respectively. What is the 10th…

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Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

Q: a geometric sequence has a first term of 8/3 and a fourth term of 9. find the common ratio. Write…

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Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: 1 1 The 3rd term and the 8th term of a geometric sequence are 2 and 64 respectively. Find the first…

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Q: 7. Find the indicated term of the arithmetic sequence with the description. The twelfth term is 118,…

A: Given: The twelfth term is 118, and the eighth term is 146.  To find: The first term and the nth…

Q: 5. The first term a, of a geometric sequence is 64 and the common ratio is Part A: Determine a,.…

A: We have to find terms of given geometric sequence.

Q: The common ratio in geometric sequence Is 3/2, and the fifth term is 1. Find the first three terms.

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Q: 4. (a) What is an arithmetic sequence? Write a formula for the nth term of an arithmetic sequence.…

A: We have the following objectives   (a) What is an arithmetic sequence? Write a formula for the nth…

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (1) What…

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: a = 3"- 1

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Q: 13 For a given geometric sequence, the 8" term, ag, is equal to is equal to -65, Find the value of…

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Q: 3. In a geometric sequence, if az = -5 and ag = 40, determine a1, r, and an. Then write the first…

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Q: A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  A) find the common…

A: Given: First term and fourth term of a geometric series are 83 and 9 respectively. To find: The…

Q: 63 Given the sum of the first six terms of a geometric sequence is and the common 16 ratio is find…

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Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: The 12th term of an arithmetic sequence is 34 and the fifth term is 20. Find the 20th term.

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Q: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: 11. It is a sequence where every term after the first is obtained by multiplying a nonzero constant.…

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Q: The first term of a geometric sequence is 25, and the fourth term is 1/5(a) Find the common ratio r…

A: Given first term of geometric sequence is 25 and fourth term is 15. We know that nth term of G.P is…

Q: Photo #1: Question Photo #2: Answer Key

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128,…

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: 3. An arithmetic sequence is given by k,,, 0. 0,.... (a) Find the sixth term. (b) If the 20th term…

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Q: The 7th term of an arithmetic sequence is −44, and the common difference is −4. Find the first term.

A: The nth term of sequence is given by:…

Q: not? This is a geometric sequence since there is a common ratio between each term. In this case,…

A: As per our guidelines I am solving only first problem please repost other question  b) the given…

Q: 1) Given the sequence -16,8, -4, ... Find the first term: Is the sequence Geometric? Find the common…

A: Since you have asked multiple question, we will solve the first 3 question for you. If youwant any…

Q: 6. The first term of an arithmetic sequence is 10, and the tenth term is 2. (a) Find the common…

A: Let the first term of the arithmetic sequence be 'a' and the common difference be 'd'. Let the 10th…

Q: What is the common ratio, a1, a2, a3, and a4 of this geometric sequence: {(7^(n-2))/3}

A: Consider the provided geometric sequence,

Q: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

A: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

Q: 9. In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the…

A: This question can be solved using the concept of geometric series.

Q: A geometric sequence has first term 3 and common ratio -(1/2). Find the first five terms and the…

A: A geometric sequence has first term 3 and common ratio -(1/2). Find the first five terms and the…