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Q.

The sum to infinity of the series 1+45+752+1053+… is

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a

1635

b

118

c

3516

d

176

answer is C.

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Detailed Solution

S=1+45+752+1053+… (1)15S=15+452+753+… (2)Subtracting (2) from (1), we get 45S=1+35+352+353+…=1+3/51−1/5(1) =1+34=74 (2)⇒ S=3516

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