Home
Class 12
MATHS
Find the three terms in G.P. whose produ...

Find the three terms in G.P. whose product is 729 and the sum of their product in pair is 351.

Text Solution

Verified by Experts

The correct Answer is:
3, 9, 27 or 27, 9, 3
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

If the continued product o three numbers in a G.P. is 216 and the sum of their products in pairs is 156, find the numbers.

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

The product of the three numbers in G.P. is 125 and sum of their product taken in pairs is (175)/2 . Find them.

Find three numbers in G.P. whose sum is 35 and product is 1000.

Find the third term of a G.P. whose common ratio is 3 and the sum of whose first seven terms is 2186

Find the 12th term of a G.P. whose 8th term is 192, and the common ratio is 2.

Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the common ratio is 2.

The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen term of the AP.

The sum of three consecutive numbers in G.P. is 21 and the sum of their squares is 189. Find the numbers.

The sum of infinite number of terms in G.P. is 20 and the sum of their squares is 100. Then find the common ratio of G.P.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. Find three numbers in G.P. whose sum is 19 and product is 216.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If three numbers a, b, c satisfy the relation (a^(2) + b^(2)) (b^(2) +...

    Text Solution

    |

  15. If a, b, c are in geometric progression, then show that, (a^(2) + ab...

    Text Solution

    |

  16. A boy saves 1 paisa the first day, 2 paise the second day, 4 paise the...

    Text Solution

    |

  17. Shri A. K. Roy borrows Rs. 6000 to repay the amount with interest of R...

    Text Solution

    |

  18. A man borrows Rs. 19682 without interest and agrees to repay the money...

    Text Solution

    |

  19. The A.M. of two numbers is 15 and their G.M. is 12. Find the numbers.

    Text Solution

    |

  20. If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c resp...

    Text Solution

    |