Home
Class 12
MATHS
sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))...

`sum_(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=`

A

`-(25)/(109)`

B

`-(35)/(109)`

C

`-(45)/(109)`

D

`-(55)/(109)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (Assertion/Reason) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (TRUE AND FALSE) |5 Videos

  • PROGRESSIONS

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

sum_(r=1)^(10) (4r-3)^(2) =

Find sum_(r=1)^(10) (r+2)(3r+1).

sum_(r=1)^(n)(3^(r)-r)=

If S_(n)=sum_(r=1)^(n)(2r+1)/(r^(4)+2r^(3)+r^(2)), then S_(10) is equal to

If sum_(r=1)^(10)(r.3^(r))=(19.3^(a)+b)/(4) , then

If a = sum_(r=1)^(oo) 1/(r^(2)), b = sum_(r=1)^(oo) 1/((2r-1)^(2)), then (3a)/b is equal to _____

lim_ (n rarr oo) (1) / (n ^ (4)) sum_ (r = 1) ^ (n) r (r + 2) (r + 4) =

If sum_(r=1)^(r=n)(r^(4)+r^(2)+1)/(r^(4)+r)=(675)/(26), then n is equal to

ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)
  1. If x, y, z, w in N be four consecutive terms of an A.P., then T(x), T(...

    Text Solution

    |

  2. If in any progressin the difference of any two consecutive terms bears...

    Text Solution

    |

  3. In any progression, if (t(2)t(3))/(t(1)t(4)) = (t(2) + t(3))/(t(1) + t...

    Text Solution

    |

  4. In a certain progression, three consecutive terms are 30, 24, 20. Then...

    Text Solution

    |

  5. If (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and...

    Text Solution

    |

  6. If cos (theta - alpha), cos theta, cos (theta + alpha) are in H.P. the...

    Text Solution

    |

  7. If A = lim(n rarr oo) sum(r = 1)^(n) tan^(-1) ((1)/(2r^(2))), then A i...

    Text Solution

    |

  8. If S(n) = sum(r=1)^(n) (2r+1)/(r^(4) + 2r^(3) + r^(2)),"then S"(20) =

    Text Solution

    |

  9. sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=

    Text Solution

    |

  10. If A = underset(n rarr oo)("Lt") sum(r = 1)^(n) tan^(-1) ((2r)/(2 + r^...

    Text Solution

    |

  11. sum(r = 1)^(50) [(1)/(49 + r) - (1)/(2r(2r - 1))]=

    Text Solution

    |

  12. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

    Text Solution

    |

  13. Let Vr denote the sum of first r terms of an arithmetic progression (A...

    Text Solution

    |

  14. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  15. Let V(r) denote the sum of the first r terms of an arithmetic progres...

    Text Solution

    |

  16. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

    Text Solution

    |

  17. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

    Text Solution

    |

  18. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

    Text Solution

    |

  19. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  20. Let an denote the number of all n-digit positive integers formed by th...

    Text Solution

    |