Home
Class 11
MATHS
if S is the sum , P the product and R th...

if `S` is the sum , `P` the product and `R` the sum of reciprocals of `n` terms in `G.P.` prove that `P^2 R^n=S^n`

A

P

B

`P^(2)`

C

`P^(3)`

D

`P^(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos

  • QUESTION PAPER 2018

    MARVEL PUBLICATION|Exercise QUESTION|50 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

Similar Questions

Explore conceptually related problems

Let S e the sum,P the product,adn R the sum of reciprocals of n terms in a G.P.Prove that P^(2)R^(n)=S^(n).

Let S be the sum, P be the product and R be the sum of the reciprocals of 3 terms of a G.P. then P^2R^3: S^3 is equal to (a)1:1 (b) (common ratio)^n :1 (c)(First term)^2(common ratio)^2 (d) None of these

If S be the sum,p the product and R the sum of the reciprocals of n terms of a G.P.,then ((S)/(R))^(n) is equal to

If S be the sum P the product and R be the sum of the reciprocals of n terms of a GP then p^(2) is equal to S/R b.R/S c.(R/S)^(n) d.(S/R)^(n)

If a be the first term, b be the nth term and P be the product of n terms of a GP then prove that P^2=(ab)^n .

If sum of 3 terms of a G.P. is S product is P ,and sum of reciprocal of its terms is R, then P^(2)R^(3) equals to-

If S_(n) denotes the sum of first n terms of an A.P.prove that S_(12)=3(S_(8)-S_(4))

MARVEL PUBLICATION-SEQUENCES AND SERIES -MULTIPLE CHOICE QUESTIONS
  1. If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^...

    Text Solution

    |

  2. If a,b,c are simultaneously in an A.P. and a G.P. , then : a^(b).b^(c)...

    Text Solution

    |

  3. if S is the sum , P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  4. The A.M. of a and c is b. If b is also the G.M. of a and c+1 then : ...

    Text Solution

    |

  5. If the A.M. and G.M. of the roots of a quadratic equation in x are P a...

    Text Solution

    |

  6. If the A.M. of the roots of a quadratic equation is (8)/(5) and the A....

    Text Solution

    |

  7. 8^(2)+9^(2)+10^(2)+ cdots +22^(2)=

    Text Solution

    |

  8. 60^(2)-59^(2)+58^(2)-57^(2)+ cdots +2^(2)-1^(2) =

    Text Solution

    |

  9. 40^(3)-38^(3)+36^(3)-34^(3)+ cdots +4^(3)-2^(3)=

    Text Solution

    |

  10. If sum(r=1)^(n) r=210, then : sum(r=1)^(n) r^(2)=

    Text Solution

    |

  11. sum(r=1)^(20) r (2r+1)=

    Text Solution

    |

  12. sum(r=1)^(10) (4r-3)^(2) =

    Text Solution

    |

  13. Find the sum of the following series: 5+55+555+ to\ n\ t e r m sdot

    Text Solution

    |

  14. 1.2+3.02+5.002+7.0002+ cdots to n terms =

    Text Solution

    |

  15. 1^(3)+2^(3)+3^(3)+ cdots +20^(3)=

    Text Solution

    |

  16. 7^(2)+8^(2)+9^(2)+...+20^(2)=

    Text Solution

    |

  17. 11^(2)+12^(2)+13^(2)+ cdots +32^(2)=

    Text Solution

    |

  18. Suppose that F(n +1) =( 2f(n)+1)/2 for n = 1, 2, 3,.....and f(1)= 2 ...

    Text Solution

    |

  19. If a, b, c, d, e, f are in А.Р., then e-c is equal to

    Text Solution

    |

  20. If the middle term amongst any odd number (n) consecutive terms of an ...

    Text Solution

    |