Find the sum of the series 0.3+ 0.33 + 0...

Find the sum of the series `0.3+ 0.33 + 0.333+` ……to n terms

Verified by Experts

The correct Answer is:

`(1)/(3) n- (1)/(27) (1- 10^(-n))`

SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Exercise: 9.1|14 Videos
SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Exercise: 9.2|18 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
SETS
KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the sequence 7, 77, 777, 7777, ... to n terms.

Find the sum of the following series up to n terms: (i) 5+55+555+...... (ii) .6+.66.+.666+.............

Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+.......

Find the sum to n terms of the series in whose n^(th) terms is given by n(n+1)(n+4)

Find the sum to n terms of the series in whose n^(th) terms is given by n^2+2^n

Find the sum to n terms of the series in whose n^(th) terms is given by (2n-1)^2

Find the sum of the series 1*2*3+2*3*4+3*4*5+"...." " upto n terms " .

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

Find the sum of the series whose n^(th) term is as following: n^(3)-3n

Find the sum of the series whose n^(th) term is as following: 2n^(2)-3n+ 5