Home
Class 12
MATHS
Sum of infinite number of terms in GP is...

Sum of infinite number of terms in GP is 20 and sum of their square is 100. The common ratio of GP is

A

5

B

`3/5`

C

`8/5`

D

`1/5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|49 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

Sum to infinite number of terms of a G.P. is ….

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then the common ratio of the G.P. is

Sum of all terms in in G.P is 5 times the sum of odd terms. The common ratio is

the sum of the first six terms of a GP is 9 times the sum of the first three terms. The common ratio is

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

The sum of an infinite G.P. is 18. if the first term is 6, the common ratio is

The sum of the first two terms of a GP of positive terms is 5/3 and the sum to infinity of the series is 3. the common ratio is

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 and their product is 1. Find the common ratio and the terms.

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. if 1,log(9)(3^(1 - x) + 2),log(3)[4.3^(x) - 1] are in A.P. then x equa...

    Text Solution

    |

  2. 1^(3) - 2^(3) + 3^(3) + 4^(3) + .... + 9^(3) =

    Text Solution

    |

  3. Sum of infinite number of terms in GP is 20 and sum of their square is...

    Text Solution

    |

  4. The value of 2^(1/4), 4^(1/8), 8^(1/16) ...... infty is

    Text Solution

    |

  5. Fifth term of a GP is 2, then the product of 1ts 9 terms is

    Text Solution

    |

  6. If the system of linear equations x + 2ay + az = 0,x + 3by + bz = 0,x ...

    Text Solution

    |

  7. Let f(x) be a polynomial function of second degree. If f(1) = f(-1) an...

    Text Solution

    |

  8. The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

    Text Solution

    |

  9. If x(1),x(2),x(3)as well as y(1),y(2),y(3) are in geometric progressio...

    Text Solution

    |

  10. Let T, be the r^(th) term of an A.P. whose first term is a and common ...

    Text Solution

    |

  11. The sum of first n terms of the series 1(2) + 2.2^(2) + 3^(2) + 2.4^(2...

    Text Solution

    |

  12. The sum of series 1/2! + 1/4! + 1/6! + …….. is

    Text Solution

    |

  13. If the coefficients of r^(th),(r + 1)^(th) and (r + 2)^(th) terms in t...

    Text Solution

    |

  14. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

    Text Solution

    |

  15. If a(1), a(2), a(3), ………, a(n)….. are in G.P., then the determinant De...

    Text Solution

    |

  16. Leta(1), a(2), a(3), ………be terms of an A.P. if (a(1) + a(2) + ...... a...

    Text Solution

    |

  17. If a(1), a(2) , ……. A(n) are in H.P., then the expression a(1)a(2) + a...

    Text Solution

    |

  18. The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

    Text Solution

    |

  19. In a geometric progression consisting of positive terms each term equa...

    Text Solution

    |

  20. The first two terms of a geometric progression add up to 12. The su...

    Text Solution

    |