Home
Class 11
MATHS
Find the sum to infinity of the sequence...

Find the sum to infinity of the sequence `1,1/3,1/9,………`

Promotional Banner

Topper's Solved these Questions

  • Relations and Functions

    MAXIMUM PUBLICATION|Exercise EXAMPLE|104 Videos
  • SETS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|115 Videos

Similar Questions

Explore conceptually related problems

Find the sum to infinity of the series 1-3x+ 5x^(2)+7x^(3)+ cdots oo when |x| lt 1 .

n, 3n, 5n,... is an arithmetic sequence. a) What is the common difference? b) Prove that the sum of first 'n' terms of this sequence is n^(3) . c) Then find the sum of 15 terms of the sequence 15,45,75,…..

Find the sum to infinity terms of the GP (-3)/4 , 3/16 , (-3)/64 ,…..

Find the sum of first 11 terms of the sequence 20,25,30.......

Write the next two terms of the sequence 1,4,9,16,……..

Find the sum to infinity of this geometric progression. 1,1/2,1/2^2,1/2^3,……

Find the sum to infinity of this geometric progression. 5,20/7,80/49,……

If the sum to infinity of the series 3+(3+d) (1)/(4) +(3+2d) (1)/(4^(2))+cdots oo is (44)/(9) then find d.

The sum of the infinite series 1, 1/3, 1/9 ,……… Is…………….

Using progression, find the sum of first five terms of the series 1+2/3+4/9+…..

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

    Text Solution

    |

  2. The 6^th term of the sequence whose n^th term is tn=(2n-3)/6 is ………………...

    Text Solution

    |

  3. Find the sum to infinity of the sequence 1,1/3,1/9,………

    Text Solution

    |

  4. If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z ar...

    Text Solution

    |

  5. In an AP, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  6. In an AP, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  7. If AM and GM of two numbers are 10 and 8 respectively, find the number...

    Text Solution

    |

  8. In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th t...

    Text Solution

    |

  9. If 3^rd, 8^th and 13^th th terms of a GP are x,y,z respectively, prove...

    Text Solution

    |

  10. Prove that 3^rd, 8^th and 13^th th terms of a GP are x,y,z satisfies t...

    Text Solution

    |

  11. Which of the following is the nth term of an AP?

    Text Solution

    |

  12. Find the 10^th term of the sequence -6,-11/2,-5,…………...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the 10^th term of an AP whose nth term is (2n-3)/6.

    Text Solution

    |

  15. Find the sum of the first 10 terms of the AP which is (2n-3)/6.

    Text Solution

    |

  16. Find the sum of the first 10 terms of a GP, whose 3^rdterm is 12 and 8...

    Text Solution

    |

  17. Find the 5^th term of the sequence whose n^th terman=(n^2-5)/4

    Text Solution

    |

  18. Find the sum of n terms of the series 7+77+777+..........

    Text Solution

    |

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

    Text Solution

    |

  20. Find the sum of multiple of 7 between 200 and 400.

    Text Solution

    |