Home
Class 11
MATHS
Find the sum sum(r=0)^n^(n+r)Cr ....

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

Find the sum sum_(r=1)^n r/(r+1)!

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

Find the sum sum_(i=0)^r.^(n_1)C_(r-i) .^(n_2)C_i .

Find the sum sum_(r=1)^n r^n (^nC_r)/(^nC_(r-1)) .

Find the sum sum_(r=0)^(5)""^(32)C_(6r) .

Find the sum sum_(r=1)^(n) r^(2) (""^(n)C_(r))/(""^(n)C_(r-1)) .

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

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

If sum_(r=1)^n T_r=(3^n-1), then find the sum of sum_(r=1)^n1/(T_r) .

Find the sum sum_(r=1)^n r/((r+1)!) where n!= 1xx2xx3....n .

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Prove that ^m C1^n Cm-^m C2^(2n)Cm+^m C3^(3n)Cm-=(-1)^(m-1)n^mdot

    Text Solution

    |

  2. Prove that "^n C0^(2n)Cn-^n C1^(2n-1)Cn+^n C2xx^(2n-2)Cn++(-1)^n^n Cn^...

    Text Solution

    |

  3. Find the sum sum(r=0)^n^(n+r)Cr .

    Text Solution

    |

  4. Find the value of sumsum(0leilejlt=n)(i+j)(nCi+n Cj)dot

    Text Solution

    |

  5. Find the value of sumsum(0leilejlt=n)ci^n"" cj^ndot

    Text Solution

    |

  6. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

    Text Solution

    |

  7. Find the sum sumsum(0leiltjlen) "^nCi"^nCj

    Text Solution

    |

  8. Prove that sum(r=0)^ssum(s=1)^n^n Cs^n Cr=3^n-1.

    Text Solution

    |

  9. Find the sum sumsum(0leiltjlen)"^nCi

    Text Solution

    |

  10. Find the coefficient of x^4 in the expansion of (x/2-3/x^2)^10.

    Text Solution

    |

  11. Find the term in(3sqrt(((a)/(sqrt(b))) + (sqrt((b)/ ^3sqrt(a))))^(21) ...

    Text Solution

    |

  12. Using the binomial theorem, evaluate (102)^5 .

    Text Solution

    |

  13. Find the 6th term in expansion of (2x^2-1//3x^2)^(10)dot

    Text Solution

    |

  14. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

    Text Solution

    |

  15. Find n , if the ratio of the fifth term from the beginning to the ...

    Text Solution

    |

  16. Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot

    Text Solution

    |

  17. Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...

    Text Solution

    |

  18. Find the approximation of (0. 99)^5 using the first three terms of its...

    Text Solution

    |

  19. If for n in N ,sum(k=0)^(2n)(-1)^k(^(2n)Ck)^2=A , then find the value...

    Text Solution

    |

  20. There are two bags each of which contains n balls. A man has to sele...

    Text Solution

    |