SSC CHSL 24 Mar 2018 Shift 2 Paper

Section: English Language

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Question : 3 of 100

Marks: +1, -0

Find the value of

n + n + {3n }/2 + {9n }/4 + .........∞

0
1
2
Infinity

Solution:

Expression =

n + n + {3n }/2 + {9n }/4 + .........∞

=

n + (n + {3n }/2 + {9n}/4 + .........∞)

It is a geometric progression with common ratio,

r=3/2

and first term,

a = n

∵ The common ratio is greater than 1, ⇒ Sum will tend to infinity.

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