Home
Class 12
MATHS
Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Fi...

Let `f(n)=sum_(r=0)^nsum_(k=r)^n(k r)dot` Find the total number of divisors of `f(9)dot`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

sum_(k=m)^n kC_r

Let f(n)= sum_(k=1)^(n) k^2 ^"(n )C_k)^ 2 then the value of f(5) equals

If sum_(r=1)^n r=55 , F i nd sum_(r=1)^n r^3dot

If f (n) = sum_(s=1)^n sum_(r=s)^n "^nC_r "^rC_s , then f(3) =

Find the sum of the series sum_(r=1)^n rxxr !dot

If a_(n) = sum_(r=0)^(n) (1)/(""^(n)C_(r)) , find the value of sum_(r=0)^(n) (r)/(""^(n)C_(r))

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum sum_(r=0)^n^(n+r)C_r .

Find the sum sum_(r=1)^n r(r+1)(r+2)(r+3)dot

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

    Text Solution

    |

  2. Value of (2sin9^(@)sin 21^(@)sin 39^(@)sin 51^(@)cos21^(@)sin 81^(@))/...

    Text Solution

    |

  3. Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divis...

    Text Solution

    |

  4. Complete solution of inequality ||3x-9|+2|>2 is (a)(-oo,oo) (b) {3} ...

    Text Solution

    |

  5. Draw the graphs of y=x+x/(|x|)

    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. Suba Rao started work in 1995 at an annual salary of Rs 5000 and re...

    Text Solution

    |

  8. lim(n->oo) sum(r=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

    Text Solution

    |

  9. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

    Text Solution

    |

  10. If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4) is invertible, where...

    Text Solution

    |

  11. Solution of differential equation (dy)/(dx)=(y^2-2x y-x^2)/(y^2+2x y-x...

    Text Solution

    |

  12. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

    Text Solution

    |

  13. prove that sum(k=0)^10 20^Ck=2^(19)

    Text Solution

    |

  14. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  15. If Sn, denotes the sum of n terms of an AP, then the value of (S(2n)-...

    Text Solution

    |

  16. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  17. If the function f: R-{(2005)/(153)}vecR-{(2005)/(153)} , defined by f(...

    Text Solution

    |

  18. Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {...

    Text Solution

    |

  19. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

    Text Solution

    |

  20. (lim)(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

    Text Solution

    |