Home
Class 12
MATHS
The sum of the series (1)/(3 xx 7) + (1)...

The sum of the series `(1)/(3 xx 7) + (1)/(7 xx 11) + (1)/(11 xx 15)+…` to `oo` is

A

`1//3`

B

`1//6`

C

`1//9`

D

`1//12`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (TRUE AND FALSE) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (FILL IN THE BLANKS) |7 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 3 (FILL IN THE BLANKS) |1 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

The sum of the series (1)/(3xx7)+(1)/(7xx11)+(1)/(11xx15)+.... is

sum of the series (1)/(3*7)+(1)/(7*11)+(1)/(11*15)+

What is the value of (1)/( 3 xx 7) + (1)/( 7 xx 11) + (1)/( 11 xx 15) + . . . + (1)/(899 xx 903) ?

What is the sum of the following series ? 1/(1 xx 2) + 1/(2 xx 3) + 1/(3 xx 4) + ………+ 1/(100 xx 101)

find the value (6/7 xx 3/4) + (6/7 xx 11/4)

Find the sum of infinite series (1)/(1xx3xx5)+(1)/(3xx5xx7)+(1)/(5xx7xx9)+….

Find the sum of n terms of the series (1)/((2 xx 5))+(1)/((5xx8))+(1)/((8xx11))+... .

The sum of the infinite series (5)/(3^(2)xx7^(2))+(9)/(7^(2)xx11^(2))+(13)/(11^(2)xx15^(2))+... is

1/(5 xx 6) + 1/(6 xx 7) + 1/(7 xx 8) + ….. + 1/(24 xx 25) ?

ML KHANNA-PROGRESSIONS -PROBLEM SET - 4 (MULTIPLE CHOICE QUESTIONS)
  1. Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+

    Text Solution

    |

  2. The sum of the series: 1/((log)2 4)+1/((log)4 4)+1/((log)8 4)++1/((log...

    Text Solution

    |

  3. The sum of the series (1)/(3 xx 7) + (1)/(7 xx 11) + (1)/(11 xx 15)+… ...

    Text Solution

    |

  4. If (1^2-t1)+(2^2-t2)++(n^2-tn)+=(n(n^2-1))/3 , then tn is equal to n^2...

    Text Solution

    |

  5. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  6. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

    Text Solution

    |

  7. The sum of all the products of the first n(+) ive integers taken two a...

    Text Solution

    |

  8. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

    Text Solution

    |

  9. The value of the expression 2 (1 + omega) (1 + omega^(2)) + 3(2 omega ...

    Text Solution

    |

  10. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

    Text Solution

    |

  11. For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) ...

    Text Solution

    |

  12. The sum of the series (1)/(3.5) + (1)/(5.7) + (1)/(7.9)+…. ad infinity...

    Text Solution

    |

  13. If Sigma(r=1)^(n)t(r)=(1)/(6)n(n+1)(n+2), AA n ge 1, then the value o...

    Text Solution

    |

  14. The sum of the infinite series 1 + (1+a) x + (1 + a + a^(2)) x^(2) + (...

    Text Solution

    |

  15. Sum of the series 1 + 2 + 4 + 7 +…+ 67 is equal to

    Text Solution

    |

  16. 99^(th) term of the series 2 + 7 + 14 + 23 + 34 +…is

    Text Solution

    |

  17. Find the 50th term of the series 2+3+6+11+18+….

    Text Solution

    |

  18. Let P = 3^(1//3). 3^(2//9) . 3^(3//27)…oo, then P^(1//3) is equal to

    Text Solution

    |

  19. 2^(1//4).4^(1//8).8^(1//16).16^(1//32)…. is equal to

    Text Solution

    |

  20. If 3 + (1)/(4) (3 + d) + (1)/(4^(2)) (3 + 2d)+…oo = 8, then the value ...

    Text Solution

    |