求通项公式为an等于3的n次方加2n加1的数列前n项和
问题描述:
求通项公式为an等于3的n次方加2n加1的数列前n项和
答
an=3^n+2n+1设bn=3^n (等比数列)b1=3q=3cn=2n+1 (等差数列)c1=3d=2数列前n项和:An=Bn+Cn=3*(3^n-1)/(3-1)+(1/2)*(3+2n+1)n=(3/2)*(3^n-1)+(n+2)n =(1/2)*3^(n+1)-(3/2)+n^2+2n=(1/2)*3^(n+1)+n^2+2n-(3/2) (n...