Home
Class 11
MATHS
Find the sum of sum(r=1)^n r* (nCr)/(nC(...

Find the sum of `sum_(r=1)^n r* (nC_r)/(nC_(r-1)`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

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

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)(r+2)(r+3)

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

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

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

The value of sum_(r=1)^n (^nP_r)/(r!) is

Find the value of sum_(r=1)^(n) (r)/(1+r^(2)+r^(4))

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

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

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Prove that (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn) = (C0...

    Text Solution

    |

  2. If the coefficients of four consecutive terms in the expansion of (1+x...

    Text Solution

    |

  3. Find the sum of sum(r=1)^n r* (nCr)/(nC(r-1)

    Text Solution

    |

  4. Find the positive integer just greater than (1+0. 0001)^(10000)dot

    Text Solution

    |

  5. Find the last digit of 17^(256)dot

    Text Solution

    |

  6. If 10^m divides the number 101^(100)-1 then, find the greatest value o...

    Text Solution

    |

  7. Using the principle of mathematical induction, prove that (2^(3n)-1) i...

    Text Solution

    |

  8. If x is very large as compare to y , then prove that sqrt(x/(x+y))dot...

    Text Solution

    |

  9. Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot

    Text Solution

    |

  10. Prove that the coefficient of x^r in the expansion of (1-2x)^(-1/2) is...

    Text Solution

    |

  11. Find the sum: 1-1/8+1/8xx3/(16)-(1xx3xx5)/(8xx16xx24)+...

    Text Solution

    |

  12. Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3).(3/6).(5/9)+.......

    Text Solution

    |

  13. Assuming x to be so small that x^2 and higher power of x can be neg...

    Text Solution

    |

  14. Find the sum sumsum(0lt=i<jlt=n-1)^n Cidot

    Text Solution

    |

  15. Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(...

    Text Solution

    |

  16. Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infi...

    Text Solution

    |

  17. Find the fourth term in the expansion of (1-2x)^(3//2)""dot

    Text Solution

    |

  18. Prove that ^nC0 "^(2n)Cn-^nC1 ^(2n-2)Cn +^nC2 ^(2n-4)Cn =2^n

    Text Solution

    |

  19. Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot

    Text Solution

    |

  20. The sum of the coefficients of all the integral powers of x in the exp...

    Text Solution

    |