an=2n-5,bn=an/2^n,设bn的前n项和为tn,证明;1/4大于等于tn小于1
问题描述:
an=2n-5,bn=an/2^n,设bn的前n项和为tn,证明;1/4大于等于tn小于1
答
题目有问题bn=an/2^nbn=(2n-5)/2^nTn=b1+b2+……+bn=(2-5)/2+(2*2-5)/2^2+…+(2n-5)/2^n…….12Tn=(2-5)+(2*2-5)/2+(2*3-5)/2^2+……(2n-5)/2^(n-1) .22式-1式得Tn=-3+2/2+2/2^2+……+2/2^(n-1)-(2n-5)/2^n=-3-(2n...