Show that C0/2 + C1/3 + C2/4 + + - Maths - Binomial Theorem

Question

Show that C0/2 + C1/3 +
C2/4 + + Cn/n+2 = (1+n
2(n+1))/(n+1)(n+2)
Please tell me the answer to this question Need urgently Help
from meritnation experts would be commendable Please help !

Gopal Mohanty · Accepted Answer

Hi Manish! Here is the proof of your question It is known that: C0 + C1x + C2x2 + C3x3 + … Cnxn = (1+ x)n ⇒ C0x + C1x2 + C2x3 + C3x3 + … Cnxn + 1 = x(1+ x)n

Let z = 1 + x ⇒ dz = dx When x → 0, z → 1 When x → 1, z → 2 Thus from equation (1)

Hope! You got the proof Cheers!

Show that C0/2 + C1/3 + C2/4 + ......... + Cn/n+2 = (1+n.2(n+1))/(n+1)(n+2) Please tell me the answer to this question. Need urgently. Help from meritnation experts would be commendable . Please help !

Show that C₀/2 + C₁/3 + C₂/4 + ......... + C_n/n+2 = (1+n.2⁽ⁿ⁺¹⁾)/(n+1)(n+2)

Please tell me the answer to this question. Need urgently. Help from meritnation experts would be commendable . Please help !