geometric sequence

Question

find the fifth term in the geometric sequence, given the first term and the common ratio:

a₁=2 and r=3

Answer 1

The formula for the nth term of a geometric series is

a_n=a₁(r)^n-1

Plugging in the values

a₅=2(3)^5-1

a₅=2(3)⁴

a₅=2(81)

a₅=162