Home
Class 12
MATHS
The value of the sum 1/(3^2+1)+1/(4^2+2)...

The value of the sum `1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo` is equal to

A

`13/36`

B

`12/36`

C

`15/36`

D

`18/36`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a.3 b. 6/5 c. 3/2 d. none of these

The sum of the series (1)/(1*2)-(1)/(2*3)+(1)/(3*4)--- upto oo is equal to

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

The value of sum_(n=3)^(oo)(1)/(n^(5) - 5n^(3) +4 n) is equal to -

The value of sum_(r=1)^(oo)tan^(-1)((4)/(4r^(2)+3))=

The value of sum_(n=1)^(oo)(1)/((3n-2)(3n+1)) is equal to (p)/(q), where p and q are relatively prime natural numbers.Then the value of (p^(2)+q^(2)) is equal to

Find the sum of the series (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+...oo

RESONANCE-DPP-QUESTION
  1. Consider the point A= (3, 4), B(7, 13). If 'P' be a point on the line ...

    Text Solution

    |

  2. Let a,b,c be three roots of the equation x^3+x^2-333x-1002=0 then ((su...

    Text Solution

    |

  3. The value of the sum 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo is equal to

    Text Solution

    |

  4. In how many ways can 5 colours be selected out of 8 different colours ...

    Text Solution

    |

  5. A shopkeeper places before you 41 different toys out of which 20 toys ...

    Text Solution

    |

  6. A man wants to distribute 101 coins a rupee each, among his 3 sons wit...

    Text Solution

    |

  7. Numbers of natural numbers smaller than ten thousand and divisible by ...

    Text Solution

    |

  8. Match the column

    Text Solution

    |

  9. A triangle ABC is given where vertex A is (1, 1) and the orthocenter i...

    Text Solution

    |

  10. Consider the triangle ABC having vertex A(1,1) and its orthocentre is ...

    Text Solution

    |

  11. Consider the triangle ABC having vertex A(1,1) and its orthocentre is ...

    Text Solution

    |

  12. If the number of ways in which 7 letters can be put in 7 envelopes suc...

    Text Solution

    |

  13. The streets of city are arranged like the lines of a chess board. Ther...

    Text Solution

    |

  14. For the equation x + y + z +omega= 19, the number of positive integral...

    Text Solution

    |

  15. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

    Text Solution

    |

  16. if the distance between the lines (x+7y)^2+sqrt2 (x+7y)-42=0 is r, the...

    Text Solution

    |

  17. The number of dissimilar terms in the expansion of (1+x^(4)+2x^(2))^(1...

    Text Solution

    |

  18. The sum of the all rational terms in the expansion of (3^(1//7) + 5^(1...

    Text Solution

    |

  19. (x+y)^(n) + (x-y)^(n) is equal to

    Text Solution

    |

  20. 3C0+5C1+7C2+ +(2n+3)Cn=2^n(n+3)

    Text Solution

    |