求数列:3/2,13/4,41/8.,(2n-1+1/(2^n)).前n项和?
问题描述:
求数列:3/2,13/4,41/8.,(2n-1+1/(2^n)).前n项和?
RT 2^n表示2的n次方
答
3/2=1+1/2
13/4=3+1/4
41/8=5+1/8
……
Sn=(1+3+5+……+2n-1)+(1/2+1/4+1/8……+1/2*n)
=n*2+(1/2)*n