Home
Class 11
MATHS
The sum of first three terms of a G.P. ...

The sum of first three terms of a G.P. is `(13)/(12)`and their product is ` 1`. Find the common ratio and the terms.

Text Solution

Verified by Experts

The correct Answer is:
`-4/3`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (a) SATQ|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (b) SATQ|8 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise FAQs|53 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

The sum of first three terms of a G.P.is (13)/(12) and their product is . Find the common ratio and the terms.

The sum of first three terms of a G.P. is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P.is (39)/(10) and their product is 1. Find the common ratio and the terms.

The sum of first three terms of a G.P.is 13/12 and their product is -1. Find the G.P.

The sum of first three terms of a G.P. is 21 and sum of their squares is 189. Find the common ratio :

The sum of first three terms of a G.P. is (1)/(8) of the sum of the next three terms. Find the common ratio of G.P.

The first term of as G.P. is 3 and the sum to infinity is 12. Find the common ratio.

The sum of first 12 terms of a G.P. is five times the sum of the first 6 terms. Find the common ratio.

The sum of first 6 terms of a G.P. is nine times the sum of the first 3 terms. Find the common ratio.

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

MODERN PUBLICATION-SEQUENCES AND SERIES-ILLUSTRATIVE EXAMPLES
  1. Which term in the A.P. 5,2,-1,… is -22 ?

    Text Solution

    |

  2. Which term of the sequence, 4, 3 5/7, 3 3/7 …………. Is the first negativ...

    Text Solution

    |

  3. Which term of the sequence: 16-6i, 15-4i,14-2i………. Is pure imaginary?

    Text Solution

    |

  4. Show that there is no A.P. which consists of only distinct prime nu...

    Text Solution

    |

  5. The sum of first 12 terms of a G.P. is five times the sum of the first...

    Text Solution

    |

  6. If 7 times the 7th term of an AP is equal to 11 times its 11th term, s...

    Text Solution

    |

  7. Find the number of terms common to the two AP's 3,7,11,15.... 407 and...

    Text Solution

    |

  8. If the pth, qth and rt terms of an A.P. be x,y,z respectively show tha...

    Text Solution

    |

  9. Insert three numbers between 1 and 256 so that the resulting sequen...

    Text Solution

    |

  10. The arithmetic mean between two numbers is 10 and their geometric mean...

    Text Solution

    |

  11. The A.M. between two distinct positive numbers is twice the G.M. betwe...

    Text Solution

    |

  12. If one geometric mean G and two arithmetic means A1a n dA2 be inserted...

    Text Solution

    |

  13. Find all sequences which are simultaneously A.P. and G.P.

    Text Solution

    |

  14. The sum of first three terms of a G.P. is (13)/(12)and their product ...

    Text Solution

    |

  15. The product of first three terms of a G.P. is 1000. If 6 added to its ...

    Text Solution

    |

  16. If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p...

    Text Solution

    |

  17. Find the sum to infinity of the series: 1+3/2+5/2^2+7/2^3+..........oo

    Text Solution

    |

  18. If the sum to infinity of the series: 3+(3+d).1/4+(3+2d).1/(4^(2))+………...

    Text Solution

    |

  19. Sum up the following series to n terms:3+7+14+24+37+…………..

    Text Solution

    |

  20. Find the nth term and the sum of n term of the series 6+9+21+69+261...

    Text Solution

    |