Home
Class 12
MATHS
If Cr=^nCr then (C1)/2-(C2)/3+(C3)/4-...

If `C_r=^nC_r` then `(C_1)/2-(C_2)/3+(C_3)/4-...........-(C_100)/101` is equal to

A

`C_(1)`

B

`C_(2)`

C

`C_(3)`

D

`C_(4)`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

3C_0+3^2(C_1)/2+3^3(C_2)/3+.............3^(n+1)*(C_n)/(n+1) equal to

(C_0)/(1. 3)-(C_1)/(2. 3)+(C_2)/(3. 3)-(C_3)/(4. 3)+...... +(-1)^n(C_n)/((n+1)*3) is

C_(0)-C_(1)+C_(2)-C_(3)+ ---+(-1)^(n)""^(n)C_(n) is equal to

If 20C_r=^20C_(r+4) , then rC_3 is equal to:

If m= "^nC_2 , prove that "^m C_2 =3xx ^(n+1)C_4 .

Give that : C_1+2C_2 x+3C_3 x^2+.....+2n. C_(2n). x^(2n-1)=2n(1+x)^(2n-1) , where C_r=((2n)!)/(r !(2n-r)!) , r=0,1,2, ,2n , then prove that C_1^2-2C_2^2+3C_3^2-..........-2n C_(2n)^2=(-1)^n . nC_n .

C_1/C_0+2C_2/C_1+3C_3/C_2+............+nC_n/C_(n-1)=(n(n+1))/2

If (1 + x)^(n) = sum_(r=0)^(n) C_(r) x^(r),(1 + (C_(1))/(C_(0))) (1 + (C_(2))/(C_(1)))...(1 + (C_(n))/(C_(n-1))) is equal to

If ^n-1C_r=(k^2-3)^n C_(r+1),then k in

Prove that (C_0+C_1)(C_1+C_2)(C_2+C_3)(C_3+C_4)...........(C_(n-1)+C_n) = (C_0C_1C_2.....C_(n-1)(n+1)^n)/(n!)