WILL GIVE A BRAINLIEST PLEASE HELP!!!

Use the formula below to find the 6th term in the geometric sequence.

a(n)=(5)x(3/2)n-1

A.
5
B.
15/2
C.
1,215/32
D.
3,645/64

Respuesta :

a(n) = a₁.(r)ⁿ⁻¹, where a₁ = 1st term, r= common ratio and n, the rank

In the formula given a₁ = 5, r = 3/2 and n = 6 (we have to find the 6th term value).

a₆ = 5.(3/2)⁶⁻¹ = 5.(3/2)⁵ = 1215/32 (answer C)