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Question

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

A
1635
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B
118
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C
3516
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D
176
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Solution

The correct option is C 3516
Let S=1+4x+7x2+10x3+........
then xS=x+4x2+7x2+..........
S(1x)=1+3(x+x2+x3+......)
Here x=15
put x=15 , we get S=3516

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