(-1)2n-(-1)2n+1+(-1)2009(n为正整数)=

问题描述:

(-1)2n-(-1)2n+1+(-1)2009(n为正整数)=

n为正整数,则有:
(-1)^2n = 1 ;
(-1)^2n = 1 ;
(-1)^2009 = -1 ;
所以,(-1)^2n-(-1)^2n+1+(-1)^2009 = 0 .