Home
Class 11
MATHS
Determine the number n of terms of the G...

Determine the number n of terms of the G.P. 3,6,12, .......... so that `S_n = 381`.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Determine the number of terms in the A.P. 17, 14 1/2, 12,........, -38 .

Find the n^(th) term of the G.P , 1/3 , 1/6 , 1/12 .....

Find the sum of indicated number of terms of the following A.P.’s : 5, 2, -1, - 4, -7, ......., n terms.

The next term of the G.P. x ,x^2+2,a n dx^3+10 is

Find the number of terms common to the two A.P. s : 3,7,11 , 407a n d2,9,16 , ,709.

The sum of n terms of an A.P. is 3n^2 + 4n . Find the A.P.

Find the indicated term(s) of the following A.P.' s : n-1, n-2, n-3, ............. , a_m .

If the sum of n terms of an A.P. is 3n^2 + 2n : Find the rth term.

If S_1,S_2,S_3 be the sum of n, 2n, 3n terms of a G.P., show that : S_1(S_3-S_2)= (S_2-S_1)^2 .

Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P^2R^n = S^n .

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

    Text Solution

    |

  2. How many terms of a G.P. 3,3/2,3/4,......... are needed to give the su...

    Text Solution

    |

  3. Determine the number n of terms of the G.P. 3,6,12, .......... so that...

    Text Solution

    |

  4. Given a G.P. with a= 1,r= sqrt2. Find S20.

    Text Solution

    |

  5. Given a G.P. with a= 729 and 7th term 64, determine S7.

    Text Solution

    |

  6. If {an} is a G.P. and a1=4,r=5, find a6 and S6.

    Text Solution

    |

  7. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

    Text Solution

    |

  8. The sum of first three terms of a G.P. is 16 and the sum of the next t...

    Text Solution

    |

  9. The sum of some terms of GP. is 315 whose first term and the common ra...

    Text Solution

    |

  10. Find the sum to.n terms of the following series 5+ 55 + 555+………..

    Text Solution

    |

  11. Sum to n terms: 9+ 99 + 999 + ......

    Text Solution

    |

  12. Sum to n terms: 3 + 33+ 333 +..........

    Text Solution

    |

  13. Find the sum of the sequence 7, 77, 777, 7777,.....up to n terms.

    Text Solution

    |

  14. Sum to n terms: 8 + 88 + 888+..........

    Text Solution

    |

  15. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  16. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

    Text Solution

    |

  17. Sum to n terms: 0.3+ 0.33 +0.333 +.......

    Text Solution

    |

  18. Sum to n terms: 0.5+0.55 + 0.555 +...

    Text Solution

    |

  19. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

    Text Solution

    |

  20. If 1/(1+l)=v, prove that : v+v^(2)+v^(3)+………+v^(n)=(1-v^(n))/l.

    Text Solution

    |