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IF 1+10+10^2+…….upto n terms =(10^n-1)/9...

IF `1+10+10^2+…….`upto n terms `=(10^n-1)/9` then the sum of the series 4+44+444+….upto n terms is

A

`4/9 (10^n - 1) - (4n)/(9)`

B

`4/81 (10^n - 1) - (4n)/(9)`

C

`40/81 (10^n - 1) - (4n)/(9)`

D

`40/9 (10^n - 1) -(4n)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
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