Question

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 3 ; r = 5

Answer 1

Answer: 1875

Explanation:

The nth term of a geometric progression is given as:

= ar^n-1

Given a = 3 ; r = 5, the nth term will be:

= ar^n-1

= 3 × 5^n-1

The fifth term will be:

= 3 × 5^n-1

= 3 × 5^5-1

= 3 × 5⁴

= 3 × 625

= 1875

The fifth term is 1875