If (1+x)^n=sum(r=0)^nCrx^r, show that C0...

If `(1+x)^n=sum_(r=0)^nC_rx^r`, show that `C_0/2+C_1/3+C_2/4+....+C_n/(n+2)=(n.2^(n+1)+1)/((n+1)(n+2))`

Promotional Banner

Promotional Banner

Recommended Questions

If (1+x)^n=sum(r=0)^nCrx^r, show that C0/2+C1/3+C2/4+....+Cn/(n+2)=(n....
Text Solution
|
1. ^n C0+4^1. ^n C1+4^2. ^n C2 + 4^3. ^n C3+….+4^n. ^n Cn =
Text Solution
|
If (1+x)^n = C0 + C1 x+ C2 x^2 + ….....+ Cn x^n, then C0+2. C1 +3. C...
Text Solution
|
C0-2. C1+3 . C2 …..+ (-1)^n (n+1). Cn=
Text Solution
|
C0-(C1)/(2)+(C2)/(3)-…...+(-1)^n (Cn)/(n+1)=
Text Solution
|
I : (C1)/(C2) + 2 (C2)/(C1) + 3. (C3)/(C2) +…...+n. (Cn)/( C(n-1))= (n...
Text Solution
|
If (1+x)^n = C0 + C1x + C2x^2 + ………. + Cn x^n , prove that : C0 + (C...
Text Solution
|
Show that C0 + (C0 + C1) + (C0 +C1 + C2)+……. + (C0 + C1 + …+Cn)= (n+2...
Text Solution
|
If (1+x)^n = C0 + C1 x+ C2 x^2 + ….....+ Cn x^n, then C0+2. C1 +3. C...
Text Solution
|