1+i+i^2+i^3=1+i-1-i=0 i^4+i^5+i^6+i^7=i^4*(1+i+i^2+i^3)=0 .i^2000+i^2001+i^2002+i^2003=i^2000*(1+i+i^2+i^3)=0 原式=0
1+i+i^2+i^3+.+i^2003=0
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