Q. 24.2( 13 Votes )

# Evaluate where n ϵ **N**.

Answer :

Given

= (1 + i) (1 + i^{2} + i^{3} + i^{4} + i^{5} + i^{6} + i^{7} + i^{8} + i^{9} + i^{10} + i^{11} + i^{12} + i^{13})

= (1 + i) i

= i + i^{2}

= i – 1

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