Home
Class 11
MATHS
The sum of five consecutive terms of G.P...

The sum of five consecutive terms of G.P is 243. The sum of second and fourth is ` 10 `. Find these numbers.

Text Solution

Verified by Experts

The correct Answer is:
`48, 12, 3, (3)/(4)`,……
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Exercise: 9.1|14 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Exercise: 9.2|18 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

The sum of four consecutive terms of an A.P is 32. The product of the second and the third term is 60. Find these terms.

The sum of the first three terms of a G.P. is 21 and the sum of the next three terms is 168. Find the sum of first five terms.

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP .

The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

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

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

The sum and product of three consecutive terms of an A.P. are 24 and 312 respectively. Find these terms.

The sum of the first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP.

Find four consecutive terms in AP whose sum is 20 and the sum of whose squares is 120.

KUMAR PRAKASHAN-SEQUENCE AND SERIES-Solutions of NCERT Exemplar Problems -Question of Module
  1. The sum of five consecutive terms of G.P is 243. The sum of second and...

    Text Solution

    |

  2. The terms 1,1,2,3,5,8,13,……respresents which sequence?

    Text Solution

    |

  3. Which is the sequence whose terms are not finite?

    Text Solution

    |

  4. What does a(1) + a(2) + a(3) + …..+ a(n) represent

    Text Solution

    |

  5. Give new series by adding 2 in each term of arithmetic sequence 2,4,6,...

    Text Solution

    |

  6. Find twelveth term of A.P. 4, 8, 12…….

    Text Solution

    |

  7. 3 + 6+ 9 +…….Find sum of n terms.

    Text Solution

    |

  8. 4 + 8 + 12+…….Find sum of first 15 terms.

    Text Solution

    |

  9. Obtain arithmetic mean of 2 and 128

    Text Solution

    |

  10. Insert 5 arithmetic mean between 3 and 4.

    Text Solution

    |

  11. Find 8^(th) term of geometric sequence 3, 6,12,….

    Text Solution

    |

  12. Find n^(th) term of Geometric sequence 1,3,9,27,……

    Text Solution

    |

  13. Find S(n) for geometric sequence 4, 8, 15, 32,……

    Text Solution

    |

  14. Find sum of first 10 terms of geometric series 3,9, 27,……

    Text Solution

    |

  15. Find geometric mean of numbers 5 and 125.

    Text Solution

    |

  16. Insert 3 geometric mean between 4 and 64.

    Text Solution

    |

  17. The arithmetic and geometric mean of two positive numbers are 8 and 4 ...

    Text Solution

    |

  18. If A and G be A.M. and G.M., respectively between two positive numbers...

    Text Solution

    |

  19. Find value : 5^(2) + 6^(2) + 7^(2)+ …….+ 25^(2)

    Text Solution

    |

  20. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |