Home
Class 12
MATHS
Three numbers x, y, z are in G.P. Sum of...

Three numbers x, y, z are in G.P. Sum of the numbers is 65 and the product of the first and third numbers is 225. Find the common ratio.

Text Solution

Verified by Experts

The correct Answer is:
3 or `(1)/(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

There number are in A .P .whose sum is 6 and product of first and third number is 3 . Find the three numbers .

Three numbers are in AP. If theirsum is 27 and their product is 648. Find the numbers.

The sum of three numbers of GP is 39/10 and their product is 1. Find the numbers.

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

The sum of three numbers in A.P. is 3 and their product is – 35. Find the numbers.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

The sum of three numbers in A.P. is 12 and the sum of their squares is 56, 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.

The first terms of a G.P. is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

The sum of three numbers in A.P is 12 and sum of their cubes is 288. Find the numbers.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. The first and last terms of G.P. having finite number of terms are res...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |