Home
Class 11
MATHS
Find the sum to n terms of the G.P. 1,-a...

Find the sum to n terms of the G.P. `1,-a,a^2,-a^3,...(ane-1)`

Text Solution

Verified by Experts

`a=1, r= -a/1=-a
` `S_n=a(1-r^n)/1-r=1[1-(-a)^n]/1+a=[1-(-a)_x^n]/1+a`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos
  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the G.P. x^3,x^5,x^7,…(xne+-1)

Find the sum to n terms of the G.P. sqrt7,sqrt21,3sqrt7…

Find the sum to 81 terms of the AP-1, 1/4 , 3/2 ,……

Find the 10^(th) term of the G.P. -3/4,1/2,-1/3,2/9,….

Find the sum to n terms of this series. 1^2+3^2+5^2+……….

Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + (1^3+2^3+3^3)/(1+3+5)+….............

Find the sum to n terms of the series 1^2+(1^2+2^2)+(1^2+2^2+3^2)+...

Find the sum to n terms of the series. 1xx2+2xx3+3xx4+4xx5+ ...........

Find the sum to n terms of this series. 1times2^2+2times3^2+3times4^2+…….

Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+ ………

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Find the sum to 20 terms of 0.15,0.015,0.0015,..

    Text Solution

    |

  2. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

    Text Solution

    |

  3. Find the sum to n terms of the G.P. 1,-a,a^2,-a^3,...(ane-1)

    Text Solution

    |

  4. Find the sum to n terms of the G.P.x^3,x^5,x^7,…(xne+-1)

    Text Solution

    |

  5. Evaluate underset(K=1)overset11sum(2+3^K)

    Text Solution

    |

  6. The sum of the first three terms of a GP is (39)/(10) and their produc...

    Text Solution

    |

  7. How many terms of GP 3,3^2,3^3,..... are needed to give the sum 120?

    Text Solution

    |

  8. The sum of the first three terms of a G. P is 16 and the sủm of the ne...

    Text Solution

    |

  9. Given.a G. P. with a=729 and 7^ (th) term 64, determine S7 ?

    Text Solution

    |

  10. The sum of the first two terms of a GP Is -4 and the fifth term is 4 t...

    Text Solution

    |

  11. If the 4 ^(th), 10^(th) and 16^ (th) terms of a G . P are x, y and z ...

    Text Solution

    |

  12. Find the sum to n terms of the series: 8, 88, 888,…..

    Text Solution

    |

  13. Find the sum of the products of the corresponding terms of the sequenc...

    Text Solution

    |

  14. Find four numbers forming a geometric progression.in which the third t...

    Text Solution

    |

  15. If the p^th,q^th and r^th terms of a GP are a,b,c respectively, show t...

    Text Solution

    |

  16. If the first and the n^( th) term of a .G. P are a and b, respectivel...

    Text Solution

    |

  17. Show that the ratio of the sum of first n terms of a G. P to the sum o...

    Text Solution

    |

  18. If a, b, c and d are in G . P, show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a...

    Text Solution

    |

  19. Insert two numbers between 3 and 81 iso that the resulting sequence is...

    Text Solution

    |

  20. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the geo...

    Text Solution

    |