(-1)^2n+(-1)^2n+1+(-1)^2n+2 n为正整数

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

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