Finding the sum of the first n terms of the sequence {(n + 1) / 2}

Finding the sum of the first n terms of the sequence {(n + 1) / 2}

Sn= 2/2+3/2^2+4/2^3+5/2^4+…… + (n-1)/2^(n-2)+n/2^(n-1)+(n+1)/2^n (1)2Sn=2+3/2+4/2^2+5/2^3+…… +(n-1) / 2 ^ (n-3) + n / 2 ^ (n-2) + (n + 1) / 2 ^ (n-1) (2) (2) - (1) get Sn = 2 + 1 / 2 + 1 / 2 ^ 2 + 1 / 2 ^ 3 + +1/2^(n-1)-(n+1)/2^n =1+[...