A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  Find the common ratio

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: The first term a1=8 and common ratio r=3.

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

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: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term?…

A: The geometric sequence,5, 152, 454, 1358,........

Q: Find the 6th term of a geometric sequence is the first term is 2 and the common ratio is 3 a6=

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Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

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Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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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: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: a geometric progression or a geometric sequence is the one, in which each term is varied by another…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: In a geometric sequence, the second term is 1 and the sixth term is 16, Find the common ratio and…

A: We have 2nd and  6th term are 1 and 16 respectively,  We have to find common ratio (r) and a15…

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

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Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: A geometric sequence with the first term a1 and the common ratio r , the nth (or general) term is…

Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

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Q: For a given arithmetic sequence, the common difference, d, is equal to 7, and the 41st term, 941…

A: NOTE: Refresh your page if you can't see any equations. . here we have the 41st term of the…

Q: For the geometric sequence, 24 96 384 6, 5' 25' 125 What is the common ratio? What is the fifth…

A: Use the concept of Geometric sequence that Common Ratio is Ratio of two Conjugative terms.

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: The formula to find the nth term of geometric sequence is an=a1·rn-1. where, an is the nth term, a1…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: In a geometric progression or a geometric sequence is the one, in which each term is varied by…

Q: Find the nth term of the geometric sequence with given first term a and common ratio r r = - What is…

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Q: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

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: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: In the geometric sequence, whose first element is 0.0003 and whose common ratio is 10, which element…

A: Nth term of a GP is given by arn-1

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: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

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Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: Given: a=4, r=-2 we know that nth termTn of a geometric progression is given by Tn=a.rn-1…

Q: For a given geometric sequence, the 1st term, a₁, is equal to 11 9 your answer as a fraction. and…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

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Q: with the Find the nth term of the geometric sequence given first term u, and a common ration. What…

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Q: both questions

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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: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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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: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

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: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

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

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…

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Q: For the geometric sequence, 1 36, –6, 1, What is the common ratio?| What is the fifth term? What is…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

A: a=2, r= -5   an = a rn-1   an = 2*(-5)n-1 nth term of geometric sequence

Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…

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.