Home
Class 11
MATHS
The first term of G.P. is 27 and 8th ter...

The first term of G.P. is 27 and 8th term is `1/81`. Find the sum of its first 10 terms.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The fifth terms of an A.P. is 30 and its twelfth term is 65, find the sum of its first 20 terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

If the first term of an A.P. is 2 and common difference is 4, then the sum of its first 40 terms is-

If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find its first term.

The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find the sum of its 6th and the 7th term.

The mth terms of a G.P is n and its nth term is m. Find its (2m - n)th term.

If the 20th term of a H.P. is 1 and the 30th term is -1/17, then find its largest term.

The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20th term.

The first term of an infinite G.P. is a and its sum is 3, then-

The sum of first 6 terms of a G.P. is 9 times the sum of its first 3 terms. Find the common ratio of the G.P.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. In an A.P. (with usual notations) : (i) given a = 7, a13 = 35, find ...

    Text Solution

    |

  2. Find the geometric progression whose 4th term is 54 and the 7th term i...

    Text Solution

    |

  3. The first term of G.P. is 27 and 8th term is 1/81. Find the sum of its...

    Text Solution

    |

  4. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

    Text Solution

    |

  5. (lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9xx.....xx(2r+1)) is equal to 1/...

    Text Solution

    |

  6. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal ...

    Text Solution

    |

  7. Find the third term of a G.P. whose common ratio is 3 and the sum of w...

    Text Solution

    |

  8. If sum of an infinite G.P. : p ,1,1//p ,1//p^2, ........ is 9//2 then ...

    Text Solution

    |

  9. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  10. The 24th term of an A.P. is twice its 10th term. Show that its 72nd te...

    Text Solution

    |

  11. If the seventh term of an A.P. is 1/9 and its ninth term is 1/7, find ...

    Text Solution

    |

  12. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  13. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

    Text Solution

    |

  14. Find the value of k for which k+12, k-6, 3 are in GP.

    Text Solution

    |

  15. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  16. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

    Text Solution

    |

  17. If a,b,c are in GP, Prove that, a(b^2+c^2) =c(a^2+b^2)

    Text Solution

    |

  18. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

    Text Solution

    |

  19. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

    Text Solution

    |

  20. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |