(-1)^2n+(-1)^2n+1+(-1)^2n+2 n为正整数

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 17:54:35
(-1)^2n+(-1)^2n+1+(-1)^2n+2n为正整数(-1)^2n+(-1)^2n+1+(-1)^2n+2n为正整数(-1)^2n+(-1)^2n+1+(-1)^2n+2n为正整数解2n是

(-1)^2n+(-1)^2n+1+(-1)^2n+2 n为正整数
(-1)^2n+(-1)^2n+1+(-1)^2n+2 n为正整数

(-1)^2n+(-1)^2n+1+(-1)^2n+2 n为正整数

2n是偶数,2n+1是奇数,2n+2是偶数
∴偶次幂是正的,奇数次幂是负的
(-1)^2n+(-1)^2n+1+(-1)^2n+2
=1-1+1
=1