Home
Class 12
MATHS
Find the sum to n terms of the following...

Find the sum to n terms of the following series. `5+555+55555+...`

Text Solution

Verified by Experts

The correct Answer is:
`(5)/(9)[(10)/(99)(10^(2n)-1)-n]`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of each of the following series : 1.3 .5 + 3.5.7 + 5.7.9+…

Find the sum to n terms of each of the following series : 2.4 + 6.8 + 10.12+…

Find the sum to n terms of each of the following series : 0.6 + 0.66 + 0.666 + …

Find the sum to n terms of the followig series : 1+3+7+15+31+…

Find the sum upto n terms of the following series 4+44+444+….n.

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

Find the sum to n terms of the followig series : 3+7+14+27+52+…

Find the sum to n terms of each of the following series : 1 + 11 + 111 + ….

Find the sum to n terms of each of the following series : 2 + 22 + 222 +…

Find the sum to n terms of each of the following series : (1) + (2+3) + (4+5+6)+…

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
  1. If there be m quantities in a G.P. whose common ratio is r and S(m)den...

    Text Solution

    |

  2. If a,b,c are in G.P. are log(c) a , log (b) c, log(a) b are in A.P. , ...

    Text Solution

    |

  3. Find the sum to n terms of the following series. 5+555+55555+...

    Text Solution

    |

  4. If x in RR, solve the inequation (5x+8)/(4-x) lt2

    Text Solution

    |

  5. The population of a twon at the beginning of a year is N and the figur...

    Text Solution

    |

  6. Examine the validity of the following statement: If a and b ar odd i...

    Text Solution

    |

  7. Show that the total number of permutations of n diferent things not mo...

    Text Solution

    |

  8. A and B stand in a line with 10 other people. In how many of the perm...

    Text Solution

    |

  9. Find the number of permutations of the letters x,x,x,y,y,y,z,w taken 5...

    Text Solution

    |

  10. A bag contains 50 tickets 1,2,3,...50 of which 5 are drawn at random a...

    Text Solution

    |

  11. In n gt 7 prove that ""^(n-1)C(3)+""^(n-1)C(4) gt ""^(n)C(3)

    Text Solution

    |

  12. If (""^(n)C(r-1))/(a)=(""^(n)C(r))/(b)=(""^(n)C(r))/(c) prove that n=(...

    Text Solution

    |

  13. A,B and C have respectively 4,3 and 2 differrent books. In how many d...

    Text Solution

    |

  14. Find the modulus and ampltidue of the complex in numberz=(-2-i2 sqrt(3...

    Text Solution

    |

  15. Find the amplitude of z=1+i "tan" (3pi)/(5)

    Text Solution

    |

  16. Find the modulus and amplitude of z="sin" (6pi)/(5)+I (1+"cos" (6pi)...

    Text Solution

    |

  17. There are m A.P. Whose common differences are 1,2,3,.. M respectively...

    Text Solution

    |

  18. If S(1),S(2),S(3),...S(m) be the sum of first n terms of n A.P. Whose...

    Text Solution

    |

  19. Show that the sum of the numbers in the n th bracket of the series (1)...

    Text Solution

    |

  20. Show that the following two A.P. is have 14 common terms 3,7,11,15...,...

    Text Solution

    |