Absolute Value Has a Team

Algebra Level 5

Find the greatest natural number \(n\) for which the following equation holds : \[|i+2 i^2 +3 i^3 +.....+n i^n|=18 \sqrt{2}\]

Details and Assumptions:

\(i^2 = - 1 \)


Practice the set Target JEE_Advanced - 2015 and boost up your preparation.
Image Credit: Wikimedia Complex Number Illustration
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