Home
Class 12
MATHS
If the fourth term of a series in geomet...

If the fourth term of a series in geometric progression is 24 and the seventh term is 192, find the sum of its first ten terms.

Text Solution

Verified by Experts

The correct Answer is:
3069
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Long Answer Type Questions)|35 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Multiple Choice Type Questions)|2 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The 4th term of a geometic progression is 2/3 and the seventh term is 16/81 . Find the geometic series.

The first term of G.P. is 27 and 8th term is 1/81 . Find the sum of its first 10 terms.

The fifth terms of an A.P. is 30 and its twelfth term is 65, find the sum of its first 20 terms.

Find the geometric progression whose 4th term is 54 and the 7th term is 1458.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

Seventh term of an A.P. ios 40. Then the sum of its first 13 items is-

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

The sum of an infinite geometric series is (1)/(3) and its first terms is (1)/(4) , find the series.

The sum of first three terms of an arithmetic progression with n terms is x and the sum of last three terms is y.Show that the sum of n terms is n/6(x+y)

If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find its first term.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. The common ratio of a series in G.P. is 3, the sum of the 1st and 3rd ...

    Text Solution

    |

  2. If the fourth term of a series in geometric progression is 24 and the ...

    Text Solution

    |

  3. How many terms of the series 64+32+16+8+… must be taken so that the su...

    Text Solution

    |

  4. A G.P. has first term 3 and last term 48. If each term is twice the pr...

    Text Solution

    |

  5. The sum of first 8 terms of a G.P. is five times the sum of the first ...

    Text Solution

    |

  6. The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 te...

    Text Solution

    |

  7. The first and last terms of G.P. having finite number of terms are res...

    Text Solution

    |

  8. Find three numbers in G.P. whose sum is 19 and product is 216.

    Text Solution

    |

  9. Three numbers x, y, z are in G.P. Sum of the numbers is 65 and the pro...

    Text Solution

    |

  10. Find the three terms in G.P. whose product is 729 and the sum of their...

    Text Solution

    |

  11. The sum of three consecutive numbers in G.P. is 21 and the sum of thei...

    Text Solution

    |

  12. Find the sum to n terms of the following series : (1) + (1+3) + (1+3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. If the nth term of a series be (2.3^(n-1) + 1), find the sum of first ...

    Text Solution

    |

  16. If a, b, c, be respectively the pth, qth and rth terms of a G.P., prov...

    Text Solution

    |

  17. If a, b, c and d are in G.P., show that, (a-b)^(2), (b-c)^(2), (c-d)...

    Text Solution

    |

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

    Text Solution

    |

  19. If a, b, c and d are in G.P., show that, a^(2)+b^(2)+c^(2), ab+bc+c...

    Text Solution

    |

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

    Text Solution

    |