Find the common ratio of the geometric sequence 7, 63, 567, ...

Q: Find the 80th term of the following arithmetic sequence. 6,15,24,33,

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Q: Find the 76th term of the following arithmetic sequence.  13, 17, 21, 25,

A: I have given an answer in step 2.

Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

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Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,…

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Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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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: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: What is the common ratio of the following geometric sequence? 6, 4, 8/3, 16/9,...

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Q: Find the geometric means in the following sequence. –14, ? , _ ? , ?, ?,-235,298 98, 686, 4,802,…

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Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: Find the common ratio of the geometric sequence 11, -88, 704, ...

A: the given series is  11,-88,704,..... to find the common ratio, divide the second term by the first…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,…

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Q: Determine whether the sequence is arithmetic, geometric or neither. 1/4, 1/32, 1/256, 1/2048,…

A: Please refer the attached image for complete solution.

Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

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Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1): {5,10,15,20,…}

A: The given arithmetic sequence is

Q: Find the common ratio of the geometric sequence: {- 4, 32, – 256, 2048, – 16384, ...}

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 14/3,…

A: To find the common ratio we divide the second term by the first term.

Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

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Q: What is the common ratio of the following geometric sequence?6,15,75/2,375/4,..

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Q: Find the 12th term of the geometric sequence 7, –35, 175, ...

A: Solving the problem by obtaining the 12th term of the sequence.

Q: Find the common ratio and S, for geometric sequence 27, 9, 3.

A: To find the common ratio and S5 for a given geometric sequence

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

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Q: In the geometric sequence 6, 12, 24, 48, …. Which term is 768?

A: For Geometric armories nth term formula is an = a.rn-1 Where  r = common ratio              a= first…

Q: Write a formula for the nth term of the geometric sequence. 5)1,000, 200, 40, 8, ...

A: Given sequence is 1000, 200, 40, 8, …First find the value of r.

Q: Determine if the sequence is geometric. If it is, find the common ratio. 1) -1, 6, –36, 216, ... 2)…

A: Geometric series when common ratios of consecutive numbers are equal

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

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Q: Find the 13th term of the geometric sequence 7, 21,63, ...

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Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

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Q: Find the common ratio of the geometric sequence: {- 3, 21, 147, 1029, – 7203, ...} | r = Submit…

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Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

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Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

Q: Is the following a geometric sequence? What's the common ratio? 9,3,1,1/3,....

A: For Geo metric sequencea1 , a2 , a3 , ---anCommon ratio r=a2a1=a3a2----=anan-1nth term an=ran-1

Q: Find the 9th term of the geometric sequence 8, 32, 128, ...

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Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: Find the 9th term of the following geometric sequence. 1, 5, 25, 125, ...

A: The nth term of a geometric sequence is an=arn-1 where r is the common ratio and a is the first…

Q: Find the common ratio of the geometric sequence 40, 30, 22-

A: Given series is, 40,30,2212,...

Q: What is the common ratio of the geometric sequence 10, 20, 40, 80, 160?

A: Common ratio is the constant factor between consecutive terms of a geometric sequence. To find…

Q: Find the common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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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: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

Q: What is the common ratio in a geometric sequence?

A: we have to tell what is the common ratio in a geometric sequence.

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

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.