Sum Sn = 1 * 2 & # 185; + 3 * 2 & # 178; + 5 * 2 & # 179; +... + (2n-1) * 2 & # 710; n

Sum Sn = 1 * 2 & # 185; + 3 * 2 & # 178; + 5 * 2 & # 179; +... + (2n-1) * 2 & # 710; n


sn=1*2¹+3*2²+5*2³+...+(2n-1)*2ˆn.(1)2Sn=1*2^2+3*2^3+5*2^4+.+(2n-3)*2^(n)+(2n-1)*2^(n+1).(2)(1)-(2)Sn=2+2[2^2+2^3+...+2^(n)]-(2n-1)*2^(n+1)=-2+2[2+2^2+2^3+...+2^(n)]-(2n-1)*2^(n+1)=...