A geometric progression has first term 3 and common ratio 2

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

A geometric progression has first term 3 and common ratio 2. The sum of the first

n

terms is 3069. (i) Write an expression for the sum

S_n

of the first

n

terms in terms of

n

. (ii) Using the numerical value of

S_n

given, solve for

n

. (iii) Determine the value of the last term included in this sum.