A geometric progression has first term and common ratio

MATHEMATICS · Multi-part · GCSE · Further Mathematics · Sequences and Series · Sequences and Series

Problem

A geometric progression has first term

5

and common ratio

\dfrac{3}{2}

. Answer the following questions. (i) Write the general expression for the

n

th term

a_n

of this progression. (ii) Calculate the

8

th term. (iii) Determine which term of the progression is equal to

\dfrac{1215}{32}