find the value of i+i^2+i^4+i^6+i^8+........i^20
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Step-by-step explanation:
=i+i²+i⁴+i⁴.i²+(i⁴)²+(i⁴)².i²+(i⁴)³+(i⁴)³.i²+(i⁴)⁴+(i⁴)⁴.i²+(i⁴)^5
=i+(-1)+1+(-1)+1+(-1)+1+(-1)+1+(-1)+1
=i
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