Home
Class 11
MATHS
The sum of the infinite series 1, 1/3,...

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

A

`3/2`

B

`5/2`

C

`2/3`

D

`7/2`

Text Solution

Verified by Experts

The correct Answer is:
A
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 sequence 1,1/3,1/9,………

Find the sum of the infinite series (1)/(9) + (1)/(18) +(1)/(30) +(1)/(45)+(1)/(63)+cdots.

The sum of the infinite series 1/2(1/3+1/4)-1/4(1/3^2+1/4^2)+1/6(1/3^3+1/4^3)-... is equal to a) 1/2 log 2 b) log""3/5 c) log""5/3 d) 1/2 log""5/3

The sum to n terms of the series 1+2 (1+(1)/(n))+3 (1+(1)/(n))^(2)+ cdots is given by

The sum of the series 1+(3)/(2!) +(7)/(3!)+ (15)/(4!) + ……" to " infty , is : a) e ( e+1) b) e( 1-e) c) 3e-1 d) e(e-1)

Find the sum of the 1^(st) n terms of the series 3+7+13+21+31+ …

The sum of first n terms of the series (4)/(3),(10)/(9),(28)/(27),(82)/(81),(244)/(243),... is

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

Consider an infinite G.P with first term a and common ratio r,(-1ltrlt1) If the sum of the given infinite G.P is 15 and the sum of squares of its terms is 45, find a and r

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. The 3^rd term of the sequence whose n^th term is (3/2)^(n+1)…………….

    Text Solution

    |

  2. Insert three numbers between 1 and 256 so that the resulting sequence ...

    Text Solution

    |

  3. If p^th term of an AP is 'q' and q^th term is 'p', where p ne q find r...

    Text Solution

    |

  4. Geometric mean of 16 and 4 is …………..

    Text Solution

    |

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

    Text Solution

    |

  6. Find the sum of n terms of the AP, whose K^th term is ak=5K+1.

    Text Solution

    |

  7. If the first three terms of an AP is x-1,x+1,2x+3, then x is……….

    Text Solution

    |

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

    Text Solution

    |

  9. The nth term of the GP 5,-5/2,5/4,-5/8……………. is 5/(1024). Find 'n'.

    Text Solution

    |

  10. The nth term of the GP 5,25,125, ......

    Text Solution

    |

  11. Find the sum of all natural numbers between 200 and 1000 which are mul...

    Text Solution

    |

  12. Find the sum of the first n terms of the series whose nth term is n(n+...

    Text Solution

    |

  13. Which among the following represents the sequence whose n^th terms is ...

    Text Solution

    |

  14. Using progression, find the sum of first five terms of the series 1+2/...

    Text Solution

    |

  15. Calculate: 0.6+0.66+0.666+..... n terms.

    Text Solution

    |

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

    Text Solution

    |

  17. Find the sum of all natural numbers between 100 and 1000 which is a mu...

    Text Solution

    |

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

    Text Solution

    |

  19. The 6^th term of the GP 1/2, 1/4, 1/8, …….

    Text Solution

    |

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

    Text Solution

    |