The first term of a GP is and its common ratio is

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

Problem

The first term of a GP is

8

and its common ratio is

\dfrac{3}{2}

. Each term of the progression is divided by

4

to obtain a new progression. (i) Write the first three terms of the original progression. (ii) Find an expression for the

n

th term of the new progression. (iii) Calculate the sum of the first six terms of the new progression.