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Sum of the series 1+2.2+3.2^2 +4.2^3+......

Sum of the series `1+2.2+3.2^2 +4.2^3+.....+100.2^99` is

A

`100*2^(100)+1`

B

`99*2^(100)+1`

C

`99*2^(99)-1`

D

`100*2^(100)-1`

Text Solution

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The correct Answer is:
B
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