Home
Class 12
MATHS
The sum to (n+1) terms of the series C0...

The sum to `(n+1)` terms of the series `C_0/2-C_1/3+C_2/4-C_3/5+......=`

A

`1/(n+1)`

B

`1/(n+2)`

C

`1/(n(n+1))`

D

`1/((n+1)(n+2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions)|10 Videos

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)|80 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

Find the sum of ( n + 1 ) terms of the following series 2 C_ 0 − 3 C_ 1 + 4 C_ 2 − 5 C_ 3 + ... ...

If C_(r) stands for nC_(r), then the sum of first (n+1) terms of the series aC_(0)-(a+d)C_(1)+(a+2d)C_(2)-(a+3d)C_(3)+...... is

If n is odd, then sum of the series C_(0)^(2)-C_(1)^(2)+C_(2)^(2)-C_(2)^(3)+…..+(-1)^(n)C_(n)^(2) is

If C_(0),C_(1),C_(2),...,C_(n) denote the binomial coefficientsin the expansion of (1+x)^(n), then (C_(0))/(2)-(C_(1))/(3)+(C_(2))/(4)-(C_(3))/(5)+......+(-1)^(n)(C_(n))/(n+2)=

If n ge 2 is a positive integer, then the sum of the series ""^(n+1)C_2 + 2(""^2C_2+ ""3C_2 + ""4C_2 +...+ ""nC_2) is:

The sum of the series 3*C_(0)+11*C_(1)+19*C_(2)+27*C_(3)+...+(8n+3)*C_(n) is

" The sum of the series "3*C_(0)+11*C_(1)+19*C_(2)+27*C_(3)+...+(8n+3)*C_(n)" is "

If C_(0), C_(1) C_(2) ….., denote the binomial coefficients in the expansion of (1 + x)^(n) , then (C_(0))/(2) - (C_(1))/(3) + (C_(2))/(4)- (C_(3))/(5)+...+ (-1)^(n)(C_(n))/(n+2) =

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 2 Single Correct Answer Type Questions)
  1. If x^(n) = a(0) + a(1) (1 + x) + a(2)(1 + x)^(2) + .. .+ a(n) (1 +x)^(...

    Text Solution

    |

  2. The number of rational terms in the expansion of (1+sqrt(2)+ root(3)(3...

    Text Solution

    |

  3. The sum to (n+1) terms of the series C0/2-C1/3+C2/4-C3/5+......=

    Text Solution

    |

  4. E=(3^(log(3)sqrt(9^(|x-2|)))+7^((1/5)log(7)(4).3^(|x-2|)-9 ))^(7)

    Text Solution

    |

  5. Let a(n) denote the term independent of x in the expansion of [x+(sin(...

    Text Solution

    |

  6. Find the largest term in the expansion of (3+2x)^(50),w h e r ex=1//5.

    Text Solution

    |

  7. If n is odd, then sum of the series C(0)^(2)-C(1)^(2)+C(2)^(2)-C(2)^(3...

    Text Solution

    |

  8. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + …+ C(n) x^(n) , prove t...

    Text Solution

    |

  9. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + ... + C(n) x^(n), then v...

    Text Solution

    |

  10. If C(r) stands for ""^(n)C(r), then the sum of the series (2((n)/(2))!...

    Text Solution

    |

  11. The sum of coefficients of integral powers of x in the binomial exp...

    Text Solution

    |

  12. Given that the 4th term in the expansion of [2+(3//8x)]^(10) has the m...

    Text Solution

    |

  13. Assuming x to be so small that x^(3) and higher powers of x can be neg...

    Text Solution

    |

  14. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

    Text Solution

    |

  15. Coefficient of x^(11) in the expansion of (1+x^2)(1+x^3)^7(1+x^4)^(12)...

    Text Solution

    |

  16. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  17. Sum of the series sum(k=0)^(n)""^(n)C(k)(-1)^(k)1/(a(k)) where a(k...

    Text Solution

    |

  18. Suppose m and n are positive integers and let S=sum(k=0)^n (-1)^k 1/(...

    Text Solution

    |

  19. Coefficient of x^(m) in the expansion of S = (1 + x)^(2m) + x(1 +·x)...

    Text Solution

    |

  20. Sum of the first 20 terms of the series 1/((2)(4))+((1)(3))/((2)(4)(...

    Text Solution

    |