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Question: Sum of the series ![](https://cdn.pureessence.tech/canvas_180.png?top_left_x=272&top_left_y=945&widt...

Sum of the series is

A

B

99.2100+199.2 ^ { 100 } + 1

C

99.2100−199.2 ^ { 100 } - 1

D

100.2100−1100.2 ^ { 100 } - 1

Answer

99.2100+199.2 ^ { 100 } + 1

Explanation

Solution

Let S=1+2.2+3.22+4.23+….+100.299S = 1 + 2.2 + 3.2 ^ { 2 } + 4.2 ^ { 3 } + \ldots . + 100.2 ^ { 99 } …..(i)

2S = …..(ii)

Equation (i) – Equation (ii) gives,

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