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[2*C(0)+2^(2)*(C(1))/(2)+2^(3)*(C(2))/(3...

[2*C_(0)+2^(2)*(C_(1))/(2)+2^(3)*(C_(2))/(3)+.........+2^(n+1)*(C_(n))/(n+1)=],[3^(n+1)-1]

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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)

p*C_(0)+p^(2)(C_(1))/(2)+p^(3)(C_(2))/(3)+...+p^(n+1)*(C_(n))/(n+1)=((p+1)^(n+1)-1)/(n+1)

2*^(n)C_(0)+2^(2)*(*^(n)C_(1))/(2)+2^(3)*(*^(n)C_(2))/(3)+...+2^(n+1)*(*^(n)C_(n))/(n+1)=

C_(0)-(C_(1))/(2)+(C_(2))/(3)-............(-1)^(n)(C_(n))/(n+1)=(1)/(n+1)

C_(0)-(C_(1))/(2)+(C_(2))/(3)-......+(-1)^(n)(C_(n))/(n+1)=(1)/(n+1)

(2^(2)*c_(0))/(1.2)+(2^(3)*C_(1))/(2.3)+(2^(4)*c_(2))/(3.4)+......+(2^(n+2)*C_(n))/((n+1)(n+2))=

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)

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+...+C_(n)x^(n) then 2C_(0)+(C_(1))/(2)+2^(3)(C_(2))/(3)+...+2^(n+1)(C_(n))/(n+1)=