Home
Class 11
MATHS
C0/2-C1/3+C2/4-C3/5+.... is equal to...

`C_0/2-C_1/3+C_2/4-C_3/5+....` is equal to

A

1/n+1

B

1/n(n+1)

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    PATHFINDER|Exercise QUESTION BANK |266 Videos
  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

^8C_2+ ^8C_3+ ^8C_4+.... ^8C_7 is equal to

If (1+x)^(15)=C_0+C_1x+C_2x^2+……..+C_(15)x^(15) then ,^15C_0^2-^15C_1^2+^15C_2 ^2 -^15C_3 ^2 +……-^15C_(15) ^2 is equal to

(n+2)C_0(2^(n+1))-(n+1)C_1(2^(n))+(n)C_2(2^(n-1))-.... is equal to

If n in N then ^(n)C_0+^(n+1)C_1+^(n+2)C_2+....+^(n+r)C_r is equal to

The value of ,^nC_0 + ^(n+1)C_1 +^(n+2)C_2+……+^(n+k)C_k is equal to

The value of expression .^47 C_4+sum_(j=1)^5.^(52-j)C_3 is equal to a. .^47 C_5 b. .^52 C_5 c. .^52 C_4 d. none of these

[(. ^nC_0+^n C_3+)-1/2(.^n C_1+^n C_2+^n C_4+^n C_5]^2 + 3/4(.^n C_1-^n C_2+^n C_4 +)^2= equals to a. 3 b. 4 c. 2 d. 1

Consider the curves C_1 : x=0,C_2 :y =0, C_3 y =x^(2) +1, C_4 :y=2 ,C_5 : x =1 the area enclosed between the curves C_1 ,C_2 ,C_3 and c_5 is ( in square units ) -

The value of the expression .^47C_4 + sum_(j = 1)^5 .^(52 - j)C_3 is equal to

PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. sum(r=0)^(300)arx^r=(1+x+x^2+x^3)^(100). If a=sum(r=0)^(300)ar, then s...

    Text Solution

    |

  2. Coefficient of x^50 in (1+x)^(1000)+2x(1+x)^(999)+3x^2(1+x)^(998)+.......

    Text Solution

    |

  3. C0/2-C1/3+C2/4-C3/5+.... is equal to

    Text Solution

    |

  4. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

    Text Solution

    |

  5. Let (1+x^(2))^(2) (1+x)^(n) = underset(k = 0)overset(n+4)suma(k)x^(k)....

    Text Solution

    |

  6. Coefficient of x^n in the expansion of (1+x)^(2n) is

    Text Solution

    |

  7. If (1+x+x^2)^n=a0+a1x+...+a(2n)x^(2n) then

    Text Solution

    |

  8. The coefficients of x^7 in the expansion of (x^3+3x+3/x+1/x^3)^5 is

    Text Solution

    |

  9. 3^(2n+2)-8n-9 is divisible by

    Text Solution

    |

  10. If (x+1/x+x^2+1/x^2)^11=a0x^(-22)+a1x^(-21)+.....+a44x^(22), then a0+a...

    Text Solution

    |

  11. If (8+3sqrt7)^n=P+F, where P is an integer and F is a proper fraction,...

    Text Solution

    |

  12. Let n=3^(100), then for n

    Text Solution

    |

  13. Let an=(1000)^n/(n!) for n in N. Then an is greatest, when

    Text Solution

    |

  14. Which of the following is/are correct

    Text Solution

    |

  15. Answer the following question based on above passage: The coefficient...

    Text Solution

    |

  16. Answer the following question based on above passage: The coefficient...

    Text Solution

    |

  17. Let P=sum(r=1)^(50)(^(50+r)Cr(2r-1))/(^(50)Cr(50+r)), Q=sum(r=1)^(50)(...

    Text Solution

    |

  18. Let P=sum(r=1)^(50)((50+r)Cr(2r-1))/((50)Cr(50+r)), Q=sum(r=1)^(50)(50...

    Text Solution

    |

  19. In reference to the expansion (1+x)^n=sum(r=0)^nCrx^r, n in N, match t...

    Text Solution

    |

  20. Match List - I with List-II

    Text Solution

    |