Series P is and Series Q is

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Series P is

6+3+1.5+0.75+\dots

and Series Q is

4+2.4+1.44+0.864+\dots

. Which one of the following statements is correct regarding their sums

S_P

and

S_Q

? (a)

S_P = S_Q

(b)

S_P < S_Q

(c)

S_P > S_Q

(d) Both series are divergent