Home
Class 11
MATHS
2.C0+(2^2.C1)/2+(2^3.C2)/3+(2^4.C3)/4+.....

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

Promotional Banner

Similar Questions

Explore conceptually related problems

If (1+x)^n=C_0+C_1x+C_2x^2+……..+C_nx^n in N prove that (a) 3 C_0- 8C_1+13C_2-18C_3+...."upto" (n+1) term=0 if n ge 2 (b ) 2C_0+2^2(C_1)/(2)+2^3(C_2)/(3)+2^4C_(3)/4+....+2^(n+1)(C_n)/(n+1)=(3^n+1-1)/(n+1) ( c) C_0^2+(C_1^2)/2+C_2^2/3+....+C_n^2/(n+1)=((2n+1)!)/(((n+1)!)^2)

If (1+x)^n=C_0+C_1x+C_2x^2+C_3x^3+...+C_nx^n then prove that 2.C_0+2^2C_1/2+2^3C_2/3+2^4C_3/4+...+2^(n+1)C_n/(n+1)=(3^(n+1)-1)/(n+1)

2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1)

C0-(C1)/(2)+(C2)/(3)-............+(-1)^(n)(Cn)/(n+1)=(1)/(n+1)

4C_(0)+(4^(2))/(2)*c_(1)+(4^(3))/(3)c_(2)+............+(4^(n+1))/(n+1)C_(n)=(5^(n+1)-1)/(n+1)

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