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The value of (32)power 1(32)power1/6 (32)1/36....... is

Kpsk1414 5th Jul, 2020

Answer (1)

Mounika Sonti 5th Jul, 2020

Helloo!!

Hope you are doing great!!1

Given series = 32 32^1/6 32^1/36...........

=(32)^1+1/6+1/36+..........

The given series is in Geometric Progression...

Therefore,

Sum of Infinite GP = a/1-r

a=1,r=1/6

By substituting in the formula,we get

=1/ 1-1/6

=1/1-6

=6/5

Finally,we get,

=(32)^6/5

=16

Hope it helps you!!

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