Given the explicit formula for a geometric sequence find the common ratio, the term named in the problem, and the recursive formula. 6) a =-1.5 - (-2)"-1 Find a n-1 5) a =-3. "10 Find a

Q: Given two terms in a geometric sequence find the explicit formula for the nth term. a2 = 4 and a = 1…

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Q: The first term of a geometric sequence is 4, and the second term is 1. Find the 5th term

A: given that ,in geometric sequence  first term=4 second term=1 find the 5th term? for geometric…

Q: Given Arithmetic Sequence a1, a2,·*, ɑn the first term is 25 and the common difference is 3, find…

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Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Here the given explicit formula for an arthmetic sequence is        an=-3+9nCommon difference for…

Q: Given the first term and the common ratio of a geometric sequence find the first five terms and the…

A: We can find the answers using the properties of geometric progression as below

Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

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Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: The first term of a sequence along with a recursion formula for the remaining terms is given below.…

A: Given, a1=1, an+1=-1n-1an2

Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: 4) a̟= a+30 а 3 а n -1 a =-16 1

A: Ans:-Given the recursive formula an=an-1+30 ..........(1) a1=-16put n=2,thena2=a1+30=-16+30=14put…

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: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: Lan=Z,5 .4n-1

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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: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

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: The first term of a geometric sequence of positive terms is 5 and the fifth term is 1280. (i) Find…

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Q: Is the following a geometric sequence? State yes or no, and explain how you know. If it is…

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Q: Find a formula for the nth term of the given geometric sequence. 7, 28, 112,

A: Given: 7,  28,  112,  ...

Q: Solve the questions with solutions. Find the 8?ℎ term of a geometric sequence where the third term…

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Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: Given the explicit formula for a geometric sequence find the first 5 terms and the 8th term see…

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Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

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: 13. The 17th term of an arithmetic sequence is 13, and the 8th term is 121. a) Find the common…

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Q: The first term of a geometric sequence is 3. The third term of that geometric sequence is 432. Find…

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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: Write down the first five terms of the geometric sequence which has first term 1 and common ratio ½.

A: First term = a = 1 Common ratio = r = 1/2

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: a =-128, r=-2 Find a,

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Q: If you were to shade in a n × n square on graph paper, you could do it the boring way with sides…

A: Given, if you were to shade in a n × n square on graph paper, you could do it the boring way with…

Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: 4. An arithmetic sequence has the first term of 10 and a common difference of-2. Find the sum of the…

A: Topic = Arithmetic sequence

Q: Given the recursive formula for an arithmetic sequence find the first five terms. A (1) = -34, A (n)…

A: we have given the recursion formula for a arithmetic sequence.  We have to find the first five terms…

Q: n-1 a =2 .

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Q: he third term of a geometric sequence is 36 and the tenth term is 78732 find the common ratio R:…

A: Third term of G.P is 36 Tenth term of G.P is 78732 T3=ar3-1=36......equation…

Q: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: a) Suppose the fifth term of an arithmetic sequence is 18 and the sum of the first eleven terms is…

A: We need to solve these questions using the equations related to arithmetic and geometric sequence.

Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: A geometric sequence has a first term of 8/3 and a fourth term of 9. C) the sum of the first k…

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Q: Two terms of a geometric sequence are given. Find the first five terms. a7 = 2187, 59049 aj = %3D a…

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Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.