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The first term of a geometric sequence is 7, and the 7th term is 5103. What is the 5th term. (Plz include explanation)

Guest Aug 16, 2017
edited by Guest  Aug 16, 2017
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Nth Term = F x R^(N - 1), where F=First term, R=Common ratio, N=Number of terms

7 x R^(7 - 1) =5103, solve for R

7 x R^6 =5103  divide both sides by 7

R^6 =5103/7

R^6 = 729          take the 6th root of both sides

R =729^(1/6)

R = 3 Common ratio.

 

5th term =7 x 3^(5 - 1)

5th term =7 x 3^4

5th term =7 x 81

5th term = 567

Guest Aug 16, 2017

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