Q. 3 F3.6( 18 Votes )

# Find the value of following expression:

1 + i^{2} + i^{4} + i^{6} + i^{8} + ... + i^{20}

Answer :

1 + i^{2} + i^{4} + i^{6} + i^{8} + ... + i^{20} = 1 + (– 1) + 1 + (– 1) + 1 + ... + 1

= 1

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