Question

find the 8th term in the geometric sequence which has a first term of 10 and a common ratio of 1.75.

Answer 1

A(8) = A(1) * 1.75^(8-1) = 10 * 1.75^7 = 502.65

Answer 2

a = 10
r = 1.75
n = 8

8th term = a×(r)^n-1
= 10 × (1.75)^8-1
= 10 × (1.75)^7
= 10 × 50.265
= 502.65