Q.

The sum of the infinite series 513+55132+555133+… is

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a

3118

b

6532

c

6536

d

7536

answer is C.

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Detailed Solution

let S=513+55132+555133+….−−--1   S13=5132+55133+.....-----21−2⇒1213S=513+50132+500133+…r=10/13S=1312×5131-1013  sum of infinite terms in G.P=a1-r=65/36
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The sum of the infinite series 513+55132+555133+… is