A geometric progression has first term and common ratio

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A geometric progression has first term

324

and common ratio

\dfrac13

. (i) Which term of this progression is equal to

\dfrac49

? (ii) Using the value of

n

obtained in part (i), list all the terms of the progression up to and including that term.