Home
Class 10
MATHS
Find the sum to n terms of the series ...

Find the sum to n terms of the series
`0.4+0.44+0.444+…`to n terms.

Text Solution

Verified by Experts

The correct Answer is:
`(4)/(9)n-(4(1-((1)/(10))^(n)))/(81)`
Promotional Banner

Topper's Solved these Questions

  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Exercise 2.9|13 Videos
  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Exercise 2.10 (Multiple choice questions )|15 Videos
  • NUMBERS AND SEQUENCES

    NCERT TAMIL|Exercise Exercise 2.7 |21 Videos
  • MENSURATION

    NCERT TAMIL|Exercise Unit Exercise - 7|10 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|1 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series 3+15+35+63+

Find the sum to n terms of the series 5+55+555+ ……

Find the sum of the first n terms of the series 0.4 + 0.94 + 0.994 + . . . .

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 to n terms of the series 3+33+333+… to n terms.

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

Find the sum of the following series : 0. 7+0. 77+0. 777+ ton terms