Q. 25 D5.0( 2 Votes )

# Fill in the blanks of the following

The sum of the series i + i^{2} + i^{3} + …. Upto 1000 terms is…………

Answer :

Given i + i^{2} + i^{3} + …. Upto 1000 terms

= (i + i^{2} + i^{3} + i^{4}) + (i^{5} + i^{6} + i^{7} + i^{8}) + … 250 brackets

Since i^{n} + i^{n+1} + i^{n + 2} + i^{n + 3} = 0 where n ∈ N

= 0 + 0 + 0 … + 0

= 0

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