Question

Calculați:
1+i+i²+...+i^10

Answer 1

1=1

i=i

i²=-1

i³=-i

i^4=1

i^5=i

i^6=-1

i^7=-i

i^8=1

i^9=i

i^10=-1

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1+i+...+i^10=1-1-i+1+i-1-i+1+i-1=3-3+2i-2i=0