Question

Find the 14th term of the following geometric sequence.

5, 15, 45, 135, ...
What’s the answer to this problem

Answer 1

The 14th term is 7971615

Explanation:

The nth term of a geometric sequence is

T_n = ar^(n-1)

T_14 = ar^13

where a is the first term = 5

r is the common ratio gotten by dividing second term by first term or third term by second term

r = 15/5=45/15=135/45=3

T_14 = 5[3^(13)]

T_14 = 5(1594323)

T_14 = 7971615