Home
Class 14
MATHS
The sum of an infinite GP whose common r...

The sum of an infinite GP whose common ratio is numerically less than 1 is 32 and the sum of the first two terms is 24. What will be the third term ?

A

2

B

16

C

8

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    DISHA PUBLICATION|Exercise STANDARD LEVEL|27 Videos
  • PROGRESSIONS

    DISHA PUBLICATION|Exercise EXPERT LEVEL|25 Videos
  • PROGRESSIONS

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
  • PROFIT, LOSS AND DISCOUNT

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • QUADRATIC AND CUBIC EQUATIONS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

Similar Questions

Explore conceptually related problems

The sum of an infinite G.P. whose common ratio is numerically less than 1 is 32 and the sum of the first two terms is 24. Find the terms of G.P.

Prove that in an infinite G.P. whose common ratio r is numerically less than one, the ratio of any term to the sum of all the succeeding terms is (1-r)/r

The sum of an infinite geometric series is 6 and the sum of its first two terms is (9)/(2); find its common ratio.

The sum of an infinite geometric progression is 6, If the sum of the first two terms is 9//2 , then what is the first term?

If the sum of an infinite G.P is 32 and the some of its first two terms is 24, find the series.

The sum of an infinite GP is 80/9 and its common ratio is (-4)/5 . Find its first term.

The sum of an infinite GP is x and the common ratio r is such that |r|lt1 . If the first term of the GP is 2, then which one of the following is correct ?

The sum of an infinite GP is 18. If the first term is 6, the common ratio is

DISHA PUBLICATION-PROGRESSIONS-FOUNDATION LEVEL
  1. The sum of the 6th and 15th elements of an arithmetic progression is e...

    Text Solution

    |

  2. In a geometric progression, the sum of the first and the last term is ...

    Text Solution

    |

  3. Four geometric means are inserted between 1/8 and 128. Find the third ...

    Text Solution

    |

  4. How many terms of the series 1 + 3 + 5 + 7 + ..... amount to 123454321...

    Text Solution

    |

  5. An equilateral triangle is drawn by joining the midpoints of the sides...

    Text Solution

    |

  6. The sum to infinity of the progression 9-3 + 1-1/3 + ……..is

    Text Solution

    |

  7. The sequence [xn] is a GP with x2/x4 = 1/4 and x1 + x4 = 108. What wil...

    Text Solution

    |

  8. The 1st, 8th and 22nd terms of an AP are three conscutive terms of a G...

    Text Solution

    |

  9. If the mth term of an AP is 1/n and nth term is 1/m, then find the sum...

    Text Solution

    |

  10. Find the value of 1– 2 – 3 + 2 – 3 – 4 + ... + upto 100 terms.

    Text Solution

    |

  11. If log ((5c)/(a)) , log ((3b)/(5c)) and log ((a)/(3b)) are n an A.P.,...

    Text Solution

    |

  12. If 1/x +1/z + (1)/(x - y) + (1)/(z - y) = 0 , which of the following ...

    Text Solution

    |

  13. Let n > 1, be a positive integer. Then the largest integer m, such tha...

    Text Solution

    |

  14. The sum of an infinite GP whose common ratio is numerically less than ...

    Text Solution

    |

  15. The sum of the series 1/(sqrt2 + sqrt1) + 1/(sqrt2 + sqrt3) + ……+ 1/ (...

    Text Solution

    |

  16. What will be the value of x^(1//2) , x^(1//4) , x^(1//8) ……. To infini...

    Text Solution

    |

  17. Find the sum of n terms of the series 11 + 103 + 1005 + ...

    Text Solution

    |

  18. Three distinct numbers a, b, c form a GP in that order and the number...

    Text Solution

    |

  19. Two AMs. A1 and A2, two GMs. G1 and G2 and two HMs. H1 and H2 are ins...

    Text Solution

    |

  20. v45

    Text Solution

    |