Consider a geometric progression whose first term is 2 and common ratio is 3.

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider a geometric progression whose first term is 2 and common ratio is 3. (a) Write the general expression for the

n^{\text{th}}

term of the progression. (b) Determine the value of

n

when the term equals 486. (c) List the first six terms of the progression to confirm your result.