`C_0/2+C_1/3+C_2/4+...+C_8/10`

Show that C_0 + C_1 + C_2 +...+ C_8 = 256

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

If (1+x)^n =C_0+C_1 x+ C_2 x^2 +....... C_nx^n prove the following : 2C_0+5 C_1+8C_2+...+(3n+2)C_n=(3n+4)2^(n-1) .

Show that: C_0 + C_1 + C_2 +..........+ C_10 = 1024

Prove that C_0 + 2.C_1 + 4.C_2 + 8.C_3 + ……+2^n.C_n = 3^n

Prove that C_0 + 2.C_1 + 4.C_2 + 8.C_3 + ……+2^n.C_n = 3^n

Show that: C_0 + C_2 + C_4 + C_6 + C_8 + C_10 = C_1 + C_3 + C_5 + C_7 + C_9 = 512

Show that C_0 + C_2 + C_4 + C_6 + C_8 = C_1 + C_3 + C_5 + C_7 = 128

Prove that C_0+2C_1+4C_2+8C_3+.....+2^nC_n=3^n .