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If (1+x)^n=C0+C1x+C2x^2+……..+Cnx^n in N ...

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)`

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