已知数列{log2(an-1)}为等差数列,且 a1=3,a2=5,则lim (1/a2-a1 + 1/ a3-a2 +.+ 1/ a(n+1)-an)的值为 ( )A 2 B 1 C 3/2 D 1/2

问题描述:

已知数列{log2(an-1)}为等差数列,且 a1=3,a2=5,则
lim (1/a2-a1 + 1/ a3-a2 +.+ 1/ a(n+1)-an)的值为 ( )
A 2 B 1 C 3/2 D 1/2

已知数列{log2(an-1)}为等差数列,且 a1=3,a2=5可以得到该等差数列的公差d:d=log2(a2-1)-log2(a1-1)=log2(5-1)-log2(3-1)=log2(4)-log2(2)=2-1=1所以该等差数列的通项式:log2(an-1)=log2(a1-1)+(n-1)d=log2(3-...