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Question

If sum of the series 1+15+352+553+ is k. Find 8k

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Solution

Let k=1+15+352+553+ ...... (i)
k5=15+152+353+554+ .......(ii)
Now subtracting (ii) from (i) by shifting one place, we get

4k5=1+252+253+254+
=1+252×1115 [Sum of infinite GP =a1r]

1110
8k=11

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