Question

find the value of i+i^2+i^4+i^6+i^8+........i^20​

Answer 1

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