Home
Class 11
MATHS
Find the sum to n terms of the sequence,...

Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

Text Solution

Verified by Experts

The correct Answer is:
`80/81(10^(n)-1)-8/9n`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.4|10 Videos

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 9|32 Videos

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.2|18 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • SETS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos

Similar Questions

Explore conceptually related problems

The sum to n terms of the sequence 5, 11, 17, 23, ….. is 320 Then n = .

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

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

The sum of terms of a sequence is called ……

Find the nth terms of the following sequences 3, 8, 13, 18, …

Find the next terms of the following sequence. 8, 24, 72, …

Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1//x)^2, ,

Find the sum to n terms of each of the series in 3 xx 8 + 6 xx 11 + 9 xx 14 +.....

NCERT TAMIL-SEQUENCES AND SERIES-EXERCISE 9.3
  1. How many terms of G.P. 3, 3^(2), 3^(3), … are needed to give the sum 1...

    Text Solution

    |

  2. the sum of the first six terms of a GP is 9 times the sum of the first...

    Text Solution

    |

  3. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

    Text Solution

    |

  4. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

    Text Solution

    |

  5. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

    Text Solution

    |

  6. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

    Text Solution

    |

  7. Find the sum of the products of the corresponding terms of the sequenc...

    Text Solution

    |

  8. Show that the products of the corresponding terms of the sequences a, ...

    Text Solution

    |

  9. Find four numbers forming a geometric progression in which the third t...

    Text Solution

    |

  10. If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...

    Text Solution

    |

  11. If the first and the n^("th") term of a G.P. are a and b, respectivel...

    Text Solution

    |

  12. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

    Text Solution

    |

  13. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...

    Text Solution

    |

  14. Insert two numbers between 3 and 81 so that the resulting sequence is ...

    Text Solution

    |

  15. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

    Text Solution

    |

  16. The sum of two numbers is 6 times their geometric mean, show that numb...

    Text Solution

    |

  17. If A and G be A.M. and G.M., respectively between two positive numbers...

    Text Solution

    |

  18. The number of bacteria in a certain culture doubles every hour. If the...

    Text Solution

    |

  19. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

    Text Solution

    |

  20. If A.M. and G.M. of roots of a quadratic equation are 8 and 5, respect...

    Text Solution

    |