A geometric sequence has partial sums and .

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

Problem

A geometric sequence has partial sums

S_1 = 3

and

S_2 = 4

. (1) State the first term

u_1

. (2) Calculate the common ratio

r

. (3) Calculate the fifth term

u_5

of the series. (4) Find the value of

S_5