Home
Class 11
MATHS
If sum(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2...

If `sum_(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2+dn+e,` then

A

a=1/2

B

b=8/3

C

c=9/2

D

e=0

Text Solution

Verified by Experts

The correct Answer is:
1,2,3&4
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

If sum_(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c (b) e=0 (c) a , b-2//3, c-1 are in A.P. (d) (b+d)//a is an integer

If sum_(r=0)^(n)((r+2)/(r+1)).^n C_r=(2^8-1)/6 , then n is (A) 8 (B) 4 (C) 6 (D) 5

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

If sum_(r=1)^n T_r=n(2n^2+9n+13), then find the sum sum_(r=1)^nsqrt(T_r)dot

If (n^(2)-1) be one of the factors of the polynomial f(n)=an^(4)+bn^(3)+cn^(2)+dn+e , then

If (4x^(2) + 1)^(n) = sum_(r=0)^(n)a_(r)(1+x^(2))^(n-r)x^(2r) , then the value of sum_(r=0)^(n)a_(r) is

Prove that sum_(r=1)^(k) (-3)^(r-1) (3n)^C_(2r-1) = 0 , where k = 3n//2 and n is an even integer.

If sum_(r=1)^nT_r =n/8(n+1)(n+2)(n+3) then find sum_(r=1)^n1/T_r

If n in N such that is not a multiple of 3 and (1+x+x^(2))^(n) = sum_(r=0)^(2n) a_(r ). X^(r ) , then find the value of sum_(r=0)^(n) (-1)^(r ).a_(r).""^(n)C_(r ) .

Let (1+x)^10=sum_(r=0)^(10)c_rx^r and (1+x)^7=sum_(r=0)^7d_rx^r . If P=sum_(r=0)^5c_(2r) and Q=sum_(r=0)^3d_(2r+1) , then P/Q is equal to

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c ar...

    Text Solution

    |

  2. If a,b,c,d are distinct positive numbers in AP, then

    Text Solution

    |

  3. If sum(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2+dn+e, then

    Text Solution

    |

  4. The pth term Tp of HP is q(p+q) and qth term Tq is p(p+q) when pgt1,qg...

    Text Solution

    |

  5. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

    Text Solution

    |

  6. A geometric progression of real number is such that the sum of its fir...

    Text Solution

    |

  7. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

    Text Solution

    |

  8. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

    Text Solution

    |

  9. Which one of the following statements is correct ?

    Text Solution

    |

  10. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

    Text Solution

    |

  11. Which one of the following statements is correct ?

    Text Solution

    |

  12. The sum V1+V2+.....Vn is

    Text Solution

    |

  13. Tr is always

    Text Solution

    |

  14. Which one of the following statements is correct ?

    Text Solution

    |

  15. Match List-I with List-II

    Text Solution

    |

  16. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2 , h1,...

    Text Solution

    |

  17. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

    Text Solution

    |

  18. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

    Text Solution

    |

  19. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

    Text Solution

    |

  20. The interior angles of a polygon are in arithmetic progression. The sm...

    Text Solution

    |