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

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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 of sum_(r=1)^n r* (nC_r)/(nC_(r-1)

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

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

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

Find the sum sum_(r=1)^n1/((a r+b)(a r+a+b))dot

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

Find the sum_(r =0)^(r) ""^(n_(1))C_((r-i))""^(n_(2))C_(i) .

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

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+...

    Text Solution

    |

  2. If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...

    Text Solution

    |

  5. Write the first five terms of the following sequence and obtain the ...

    Text Solution

    |

  6. Prove that the sum to n terms of the series 11+103+1005+ i s(10/9)(10^...

    Text Solution

    |

  7. If a(n+1)=1/(1-an) for n>=1 and a3=a1. then find the value of (a200...

    Text Solution

    |

  8. Determine the number of terms in a G.P., if a1=3,an=96 ,a n dSn=189.

    Text Solution

    |

  9. Let {an}(ngeq1) be a sequence such that a1=1,a n d3a(n+1)-3an=1 for a...

    Text Solution

    |

  10. Let S be the sum, P the product, and R the sum of reciprocals of n ter...

    Text Solution

    |

  11. If the pth term of an A.P. is q and the qth term is p , then find its ...

    Text Solution

    |

  12. Find the product of three geometric means between 4 and 1/4.

    Text Solution

    |

  13. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

    Text Solution

    |

  14. Insert four G.M.’s between 2 and 486.

    Text Solution

    |

  15. Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.

    Text Solution

    |

  16. If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...

    Text Solution

    |

  17. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

    Text Solution

    |

  18. The sum of infinite number of terms in G.P. is 20 and the sum of their...

    Text Solution

    |

  19. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...

    Text Solution

    |

  20. Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.

    Text Solution

    |