Home
Class 12
MATHS
Find the sum of the first n terms of the...

Find the sum of the first n terms of the series:
`0.2 + 0.22 + 0.222+ ....n - terms`

A

`((2)/(9))-((2)/(81))(1-10^(-n))`

B

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

C

`((2)/(9))[n-((1)/(9))(1-10^(-n))]`

D

`((2)/(9))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Sum up to n terms the series

Find the sum of 7 terms of the series 2+0.2+0.02+….

The sum of the first n terms of a series is 31, and the sum of the first n - 1 terms of the series is 20. What is the value of nth terms in the series?

Sum to n terms the series : 0.7+0.77 + 0.777+ ....

Find the sum of first n terms of: 0.7+0.77+0.777+ …..

Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

Find the sum to n terms of the series whose nth term is n^2+2^n .

If an = 2n, then find the first five terms of the series.

Find the sum of the series to n terms whose n ^(th) term is 3n +2.

Find the sum of n terms of the series whose nth term is 12n^2-6n+5 .