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