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The sum of a geometric series is 14 and the series of cubes of its terms has sum 392. Find the series.


Subhasis Sahoo 25th Dec, 2019
Answer (1)
Arin Mishra 25th Dec, 2019

Hello,

Let the Series be:

a, ar, ar^2 ... so the sum will be:

a/1-r=14......(1)

now we cubed the series so terms become:

a^3, (ar)^3, (ar^2)^3... So the sum of this series will be

a^3/1-r^3=392......(2)

Solve (1) and (2) to get the answer.

Hope this Helps,

All the Best.

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