The sequence is a geometric progression

MATHEMATICS · Single correct · AoPS · Mathematics · Sequences & Series · Sequences & Series

Problem

The sequence

2,\,6,\,18,\dots

is a geometric progression. After each term is multiplied by

5

, what is the

5^{\text{th}}

term of the resulting progression? (a)

2\,430

(b)

162

(c)

810

(d)

4\,050