已知数列{An}中,A1=1/2,A(n+1)=1-1/An (n≥2),则A16=?

已知数列{An}中,A1=1/2,A(n+1)=1-1/An (n≥2),则A16=?
数学人气:111 ℃时间:2020-06-11 23:01:01
优质解答
a(1)=1/2,
a(2) = 1 - 1/a(1) = -1,
a(3) = 1 - 1/a(2) = 2,
a(4) = 1 - 1/a(3) = 1/2 = a(1),
a(5) = 1 - 1/a(4) = 1 - 1/a(1) = a(2),
a(6) = a(3),
...
a(3n-2) = a(1) = 1/2,
a(3n-1) = a(2) = -1,
a(3n) = a(3) = 2,
a(16) = a(3*6-2) = a(1) = 1/2
我来回答
类似推荐
请使用1024x768 IE6.0或更高版本浏览器浏览本站点,以保证最佳阅读效果。本页提供作业小助手,一起搜作业以及作业好帮手最新版!
版权所有 CopyRight © 2012-2024 作业小助手 All Rights Reserved. 手机版