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Write the sum of the series i+i^2+i^3+.....

Write the sum of the series `i+i^2+i^3+.......` upto `1000` terms.

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To find the sum of the series \( S = i + i^2 + i^3 + \ldots + i^{1000} \), we can follow these steps: ### Step 1: Identify the series The series can be identified as a geometric series where the first term \( a = i \) and the common ratio \( r = i \). ### Step 2: Write the formula for the sum of a geometric series The sum of the first \( n \) terms of a geometric series can be calculated using the formula: \[ ...
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