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

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.

Text Solution

Verified by Experts

The correct Answer is:
`(2)/(5) , 1,(5)/(2) "or " (5)/(2) , 1, (2)/(5)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (h) |31 Videos

  • SELF ASSESSMENT PAPER 5

    ICSE|Exercise SECTION C|11 Videos

  • SEQUENCES AND SERIES

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

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.

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

The sum of three numbers in G.P. is (39)/(10) and their product is 1. Find the numbers.

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 sum of three terms in A.P. is 33 and their products is 1155. Find the terms.

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

The first term of G.P. is 2 and the sum to infinity is 6. Find the common ratio.

The 4th term of a G.P. is 16 and 7th term is 128. Find the first term and common ration of the series.

Let the sum of first three terms of G.P. with real terms be 13/12 and their product is -1 . If the absolute value of the sum of their infinite terms is S , then the value of 7S is ______.

ICSE-SEQUENCE AND SERIES -CHAPTER TEST
  1. If the first term of an A.P. is 2 and the sum of first five terms is e...

    Text Solution

    |

  2. Insert 3 arithmetic means between 2 and 10.

    Text Solution

    |

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

    Text Solution

    |

  4. The first term of a G.P. is 1. The sum of the third and fifth terms is...

    Text Solution

    |

  5. The sum of first three terms of a G.P. is (39)/(10) and their product ...

    Text Solution

    |

  6. The sum of some terms of a G.P. is 315 whose first term and the common...

    Text Solution

    |

  7. Find the sum of the series 0.6 +0.66 +0.666+ ... to the n terms

    Text Solution

    |

  8. The sum of an infinite series is 15 and the sum of the squares of thes...

    Text Solution

    |

  9. Insert three geometric means between 1 and 256.

    Text Solution

    |

  10. In the sum to infinity of the series 3+(3+x) (1)/(4) + (3+2x)(1)/(4^(2...

    Text Solution

    |

  11. Find the sum to n terms of the series 3.8 +6.11 +9.14 + ...

    Text Solution

    |

  12. Find the sum 5^(2)+ 6^(2) + 7^(2) + ... + 20^(2).

    Text Solution

    |

  13. If in a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  14. If the first term of an infinite G.P. is 1 and each term is twice the ...

    Text Solution

    |

  15. If fifth term of a G.P. is 2, then the product of its first 9 terms is

    Text Solution

    |

  16. The sum of three decreasing numbers in A.P. is 27. If-1,-1, 3 are adde...

    Text Solution

    |

  17. The first two terms of a geometric progression add up to 12. The sum o...

    Text Solution

    |

  18. The sum to infinity of the series 1+2/3+6/3^2+14/3^4+...is

    Text Solution

    |

  19. The sum of all odd numbers between 1 and 100 which are divisible by 3,...

    Text Solution

    |

  20. If a, b, c are in G.P. and x, y are arithmetic means of a, b and b, c ...

    Text Solution

    |