The value of 1+\left(1+\frac{1}{3}\right) \frac{1}{4}+\left(1+\frac{1}{3}+\frac{1}{9}\right) \frac{1}{16}+\left(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}\right) \frac{1}{64}+\cdots, is

← CAT 2023 Slot 3 QA

CAT 2023 Slot 3 QA · Question 20

The value of $1 + (1 + \frac{1}{3}) \frac{1}{4} + (1 + \frac{1}{3} + \frac{1}{9}) \frac{1}{16} + (1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27}) \frac{1}{64} + \dots$ , is

A.
$\frac{15}{13}$
B.
$\frac{16}{11}$
C.
$\frac{27}{12}$
D.
$\frac{15}{8}$

Show answer

Take the whole QA section timed →