求和:Sn=1+3x+5x+7x+...+(2n-1)x^(n-1)谢谢了,
问题描述:
求和:Sn=1+3x+5x+7x+...+(2n-1)x^(n-1)谢谢了,
答
sn=1+3x+5x^2+7x^3+...+(2n-1)x^n-1 (1) xsn= x+3x^2+5x^3+...+(2n-3)x^n-1+(2n-1)x^n (2) (1)-(2):(1-x)sn=(1+2x+2x^2+2x^3+...+2x^n-1)-(2n-1)x^n =2[(x^n)-1]/(x-1)-1-(2n-1)x^n Sn=2[(x^n)-1)...