Home
Class 12
MATHS
The sum of the series 0.4 + 0.004 + 0.00...

The sum of the series `0.4 + 0.004 + 0.00004 + infty` is

A

`11/25`

B

`41/100`

C

`40/99`

D

`2/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

  • SEQUENCES AND SERIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|105 Videos

  • RELATIONS AND FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|33 Videos

  • SETS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|21 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

Find the sum of the first n terms of the series 0.4 + 0.94 + 0.994 + . . . .

Find the sum to n terms of the series 0.4+0.44+0.444+… to n terms.

Find the sum of the following series : 0. 7+0. 77+0. 777+ ton terms

The sum of 0. 2+0.004+0. 00006+0. 0000008+... to oo is (200)/(891) b. (2000)/(9801) c. (1000)/(9801) d. none of these

The sum of the series 1 + 1/(4.2!) + 1/(16.4!) + 1/(64.6!) + ....infty is

Find the sum 4 + 1 + 1/4 + …. " to " infty .

Find the sum of 1 + 0.1 + 0.01 + 0.001 + … (0.1)^(9)

NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
  1. If log(3)^(2),log(3)(2^(x) - 5) and log(2^(x) - 7/2)are in A.P then th...

    Text Solution

    |

  2. If the sum of first n positive integers is 1/5 times the sum of their ...

    Text Solution

    |

  3. The second term of an A.P is (x - y) and fifth term is (x + y), then t...

    Text Solution

    |

  4. Three numbers are in G.P. if we double the middle term, we get an A.P....

    Text Solution

    |

  5. Three non zero numbers a, b, c are in A.P. Increasing a by 1 or increa...

    Text Solution

    |

  6. If x gt 0 then the sum of the series e^(-x) - e^(-2x) + e^(-3x) .........

    Text Solution

    |

  7. The sum of the series 0.4 + 0.004 + 0.00004 + infty is

    Text Solution

    |

  8. If (1.05)^(50) = 11.658 then sum (n = 1) ^(49) (1.05)^(n) equals

    Text Solution

    |

  9. The product of n positive numbers is 1, then their sum is a positive i...

    Text Solution

    |

  10. If x, y, z are in A.P then e^(-x),e^(-y)and e^(-z) are

    Text Solution

    |

  11. If the sum of the first n terms of a series be 5n^(2) + 2n, then its s...

    Text Solution

    |

  12. If the sum of the first n terms of a series be 5n^(2) + 2n, then its s...

    Text Solution

    |

  13. If A.M and G.M of the roots of a quadratic equation in x are p and q r...

    Text Solution

    |

  14. If the 10^(th)term of G.P is 9 and 4^(th)term is 4 then its 7^(th)term...

    Text Solution

    |

  15. If x gt 1, y gt 1, z gt 1 are in G.P then 1/(1 + log x),1/(1 + log y),...

    Text Solution

    |

  16. Suppose a, b, c are in a.P and a^(2), b^(2), c^(2) are in G.P. If a lt...

    Text Solution

    |

  17. If the 7^(th) term of n A.P is 40. Then the sum of its first 13 terms ...

    Text Solution

    |

  18. An infinite G.P has first 13 term as a and sum 5 , then

    Text Solution

    |

  19. If the sum of p terms of an A.P is equal to sum of q terms (p != q) th...

    Text Solution

    |

  20. Three numbers from an increasing G.P. If the middle term is doubled th...

    Text Solution

    |