Home
Class 14
MATHS
The sum of an infinite G.P. is 16 and th...

The sum of an infinite G.P. is 16 and the sum of the squares of its terms is `153(3)/(5)` . Find the fourth term of the progression :

A

(5/3)

B

(5/32)

C

(3/16)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RATIO, PROPORTION & VARIATION

    QUANTUM CAT|Exercise QUESTION BANK|238 Videos

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite G.P. is 5 and the sum of the squares of these terms is 15. Find the G.P.

The sum of an infinite geometric series is 2 and the sum of the squares of its tems is (4)/(3) Find the G.P.

The sum to infinity of a G.P. is 15 and the sum of squares of its terms is 45. Find the G.P

The sum to infinity of a G.P. is 3 and the sum of squares of its terms is also 3. Find the G.P.

If the sum of an infinite G.P and the sum of the squares of its terms are both equal to 5 , then the first term is

If the sum of an infinite G.P. is (7)/(2) and sum of the squares of its terms is (147)/(16) then the sum of the cubes of its terms is

If the sum of an infinite G.P. be 3 and the sum of the squares of its term is also 3, then its first term and common ratio are

If the sum of an infinitely decreasing G.P. is 3, and the sum of the squares of its terms is 9//2 , the sum of the cubes of the terms is

The sum of the terms of an infinite geometric progression is 3 and the sum of the squares of the terms is 81. Find the first term of the series.

QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
  1. Sum up to 16 terms of the series (1^(3))/(1) + (1^(3) + 2^(3))/(1 + 3)...

    Text Solution

    |

  2. In a set of four numbers the first three are in G.P and the llast thre...

    Text Solution

    |

  3. The sum of an infinite G.P. is 16 and the sum of the squares of its te...

    Text Solution

    |

  4. If x = 1 + a + a^(2) + …. infty " , " y = 1 + b + b^(2) + …...

    Text Solution

    |

  5. A person is entitled to receive an annual payment which for each ye...

    Text Solution

    |

  6. What is the the sum of the infinite geometric series 1/4 - 3/(16) + 9...

    Text Solution

    |

  7. The sum of first two terms of a G.P. is 5/3 and the sum to infinity of...

    Text Solution

    |

  8. A ball is dropped from a height of 96 feet and it rebounds 2/3 of the ...

    Text Solution

    |

  9. Find the 10th term of the H.P. 1, 1/3 , 1/5 , 1/7 , 1/9 , 1/(11) ,….

    Text Solution

    |

  10. If the 4th and the 7th terms of an H.P. are 1/2 and 2/7 respectively ....

    Text Solution

    |

  11. Find the sum of n terms of the series 1+4/5+7/(5^2)+10+5^3+dot

    Text Solution

    |

  12. Find the sum to n terms of the series 1+4/5+7/5^2+10/5^3+……find the su...

    Text Solution

    |

  13. Which one of the following is true about A.M. , G.M. and H.M. :

    Text Solution

    |

  14. If a,b,c are in A.P. b, c,d are in G.P. and c,d,e are in H.P., then wh...

    Text Solution

    |

  15. If A.M. and G.M. of two numbers is 10 and 8 respectively then find the...

    Text Solution

    |

  16. Find the number of terms in the G.P. whose first term is 3 sum is (409...

    Text Solution

    |

  17. Find the common ratio of the G.P. whose first and last terms are 5 and...

    Text Solution

    |

  18. Find the sum of the series 2sqrt3 , 2sqrt2 , 4/(sqrt3) , ….

    Text Solution

    |

  19. The number of terms in an A.P. is even , the sum of odd terms is 63 a...

    Text Solution

    |

  20. The sum of four consecutive terms in A.P. is 36 and the ratio of produ...

    Text Solution

    |