Home
Class 12
MATHS
Sum to infininty of the series 1 + 4/5 +...

Sum to infininty of the series `1 + 4/5 + 7/5^(2) + 10/5^(3) + ......` is

A

`16/35`

B

`11/8`

C

`35/16`

D

`8/11`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos
  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos
  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos
  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'

Find the sum to n terms of each of the series in 3 × 1^(2) + 5 × 2^(2) + 7 × 3^(2) +.........

Find the sum to ininity of the series 1-3x+5x^2+7x^3+..... oo when Ix| <1.

If the surm of the first ten terms of the series, (1 3/5)^2+(2 2/5)^2+(3 1/5)^2+4^2+(4 4/5)^2+........ , is 16/5m ,then m is equal to

Find the sum to n terms of each of the series in 5^2 + 6^2 + 7^2 + ... + 20^(2)

Find the sum of the series 1+3x+5x^2+7x^3+...... n terms.

The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) +… is:

The sum up to 10 terms of the series (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
  1. The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... ...

    Text Solution

    |

  2. If three positive real numbers a, b, c are in A.P and abc = 4, then th...

    Text Solution

    |

  3. Sum to infininty of the series 1 + 4/5 + 7/5^(2) + 10/5^(3) + ...... i...

    Text Solution

    |

  4. The sum of the series 2, 5, 8, 11, …… is 60100, then n is

    Text Solution

    |

  5. Let a(n) be the n^(th) term of a G.P of positive integers. Let sum(n =...

    Text Solution

    |

  6. cos x = b for what b do the roots of the equation form an A.P?

    Text Solution

    |

  7. Sum of all terms in in G.P is 5 times the sum of odd terms. The common...

    Text Solution

    |

  8. Sum of n terms of the serise sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) +...

    Text Solution

    |

  9. The sum of series 1 + 2x + 3x^(2) + 4x^(3) + ...... up to infinity whe...

    Text Solution

    |

  10. If log(3)^(2),log(3)(2^(x) - 5) and log(2^(x) - 7/2)are in A.P then th...

    Text Solution

    |

  11. If the sum of first n positive integers is 1/5 times the sum of their ...

    Text Solution

    |

  12. The second term of an A.P is (x - y) and fifth term is (x + y), then t...

    Text Solution

    |

  13. Three numbers are in G.P. if we double the middle term, we get an A.P....

    Text Solution

    |

  14. Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increa...

    Text Solution

    |

  15. If x gt 0 then the sum of the series e^(-x) - e^(-2x) + e^(-3x) .........

    Text Solution

    |

  16. The sum of the series 0.4 + 0.004 + 0.00004 + infty is

    Text Solution

    |

  17. If (1.05)^(50) = 11.658 then sum (n = 1) ^(49) (1.05)^(n) equals

    Text Solution

    |

  18. The product of n positive numbers is 1, then their sum is a positive i...

    Text Solution

    |

  19. If x, y, z are in A.P then e^(-x),e^(-y)and e^(-z) are

    Text Solution

    |

  20. If the sum of the first n terms of a series be 5n^(2) + 2n, then its s...

    Text Solution

    |