Home
Class 12
MATHS
If 5th term of a G.P is 32 and common ra...

If 5th term of a G.P is 32 and common ratio 2, then the sum of 14 terms is

A

16388

B

32766

C

64432

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

If 6th term of a G.P is -1/32 and 9th term is 1/1256, then 11th term =

If 2nd term of a G.p. is 24 and 5th terms is 81 then the first term is

If 2pth term of a G.P is q^(2) and 2qth term is P^(2) , then (p + q)th term is

IF 8th term of an A.P. is 15, then the sum of 15 terms is

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

In a G.P if the first term is 3, n^(th) term is 96 and the sum of n terms is 189, then the number of terms is

If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of the 6^(th) and 10^(th) terms is 44. find the first three terms of the AP.

If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ratio of 8th terms is

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. Sum of 20 terms of 3 + 6 + 12 + …. Is

    Text Solution

    |

  2. If nth term of series is 2^(n) + n, then sum of n terms =

    Text Solution

    |

  3. If 5th term of a G.P is 32 and common ratio 2, then the sum of 14 term...

    Text Solution

    |

  4. How many terms of the series 1 + 3 + 9 + …. Sum to 364 ?

    Text Solution

    |

  5. If (1 - y) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 -y^(6), ...

    Text Solution

    |

  6. In a geometric progression consisting of positive terms each term equa...

    Text Solution

    |

  7. 1 + (0.04) + (0.04)^(2) + …. infty =

    Text Solution

    |

  8. If |x| lt 1, y = x - x^(2) + x^(3) - x^(4) + ….. , the value of x in t...

    Text Solution

    |

  9. If x = 1 + a + a^(2) + …. infty " , " y = 1 + b + b^(2) + …...

    Text Solution

    |

  10. If x = sum(n = 0)^(infty) a^(n) , y = sum(n = 0)^(infty) b^(n) , z = s...

    Text Solution

    |

  11. If exp{ (sin^(2) x + sin^(4) x + sin^(6) x + …. "Upto" infty) log(e) 2...

    Text Solution

    |

  12. If exp { (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log(e) 16 ...

    Text Solution

    |

  13. For 0 lt x lt pi the values of x which satisfy the relation 9^(1 + ...

    Text Solution

    |

  14. Given that 0 lt x lt (pi)/(4), (pi)/(4) lt y lt (pi)/(2) and sum(k = 0...

    Text Solution

    |

  15. The coefficient of x in (x^2 +(c )/(x))^5 is

    Text Solution

    |

  16. (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) +...

    Text Solution

    |

  17. the sum to infinity of (1)/(7) + (2)/(7^(2)) + (1)/(7^(3)) + (2)/(7^(4...

    Text Solution

    |

  18. The sum of an infinite G.P. is 2. If the sum of their squares is 4/3, ...

    Text Solution

    |

  19. The least value of n for which 1 + 2 + 2^(2) + …… to n terms is great...

    Text Solution

    |

  20. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

    Text Solution

    |