Home
Class 12
MATHS
If a1 =b1=1 , an=a(n+1)+2 and bn=an+b(n-...

If `a_1 =b_1=1 , a_n=a_(n+1)+2 and b_n=a_n+b_(n-1)` , then find the value of `sum_(n=1)^15 a_nxxb_n`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Evaluate : sum_(n=1)^(15) (2n+1)2^n .

Let (:a_(n):) be a sequence given by a_(n+1)=3a_(n)-2*a_(n-1) and a_(0)=2,a_(1)=3 then the value of sum_(n=1)^(oo)(1)/(a_(n)-1) equals (A) 1 (B) (1)/(2) (C) 2 D) 4

If the G.M. of a and b is (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) then find the value of n.

If a_(n)=(n)/((n+1)!) then find sum_(n=1)^(50)a_(n)

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :

If a_1, a_2, a_3..... a_n in R^+ and a_1.a_2.a_3.........a_n = 1, then minimum value of (1+a_1 + a_1^2) (1 + a_2 + a_2^2)(1 + a_3 + a_3^2)........(1+ a_n + a_n^2) is equal to :-

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If roots of x^2-8ax+2a=0 are p and r, while q and s are roots of x^2+1...

    Text Solution

    |

  2. (p to q) wedge (q to ~p) equivalent to

    Text Solution

    |

  3. If a1 =b1=1 , an=a(n+1)+2 and bn=an+b(n-1) , then find the value of su...

    Text Solution

    |

  4. If sum and product of mean and variance of a Binomial distribution is ...

    Text Solution

    |

  5. Let alpha , beta , gamma and delta be the roots of x^4+x^3+x^2+x+1=0 t...

    Text Solution

    |

  6. All words formed by arranging the letters of word "MANKIND" are placed...

    Text Solution

    |

  7. (1+2/3+6/3^2+10/3^3+. . . + oo)^(log(0.25)(1/3+1/3^2+1/3^3+. . . +oo))...

    Text Solution

    |

  8. Find the locus of the centroid formed by any point P on hyperbola and ...

    Text Solution

    |

  9. [(x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-sqrtx)]^10 for the given expressio...

    Text Solution

    |

  10. Equation of plane containing the straight line x/2=y/3=z/4 and perpend...

    Text Solution

    |

  11. Argument of z=1+e^(i ((6pi)/5) is equal to :

    Text Solution

    |

  12. Let Q be the foot of the tower PQ and R cuts the tower such that RQ=15...

    Text Solution

    |

  13. The number of solution of solution of x in [-4pi,4pi] of the equation ...

    Text Solution

    |

  14. Given curve C1=x^2+(y-1)^2=1, then locus of centre of circle which tou...

    Text Solution

    |

  15. Which of the following is tautology ?

    Text Solution

    |

  16. If a fair die is thrown two times and alpha , beta are numbers on it ...

    Text Solution

    |

  17. Let f:{1,2,3,4} to {1,2,3,4,5,6} , then number of functions for which ...

    Text Solution

    |

  18. If lim(x to oo) sqrt(x^2-x-1)+alpha x + beta=0, then abs(8(alpha+beta)...

    Text Solution

    |

  19. The remainder of (2024)^(2024) when divided by 7 is

    Text Solution

    |

  20. For any real number x, let [x] denote the largest integer less than or...

    Text Solution

    |