an=(1-2n)*2^(n-1)+(2n+1)*2^n=[(1-2n)/2 +(2n+1)]*2^n=[(3/2)+n]*2^n=(3/2)*2^n +n*2^n;
Sn=a1+a2+a3+……+an
=(3/2)(2+2²+2³+……+2^n)+[1*2+2*2²+3*2³+……+n*2^n]
=(3/2)[2^(n+1) -2] + [n*2^(n+1)-2-2²-2³-……-2^n]
=3[(2^n)-1]+n*2^(n+1) -2[(2^n)-1]
=(2^n)-1+ n*2^(n+1);