MathsJEE Main 24 Jan 2026, Shift 2·Q23·Numerical·Easy–moderate

Complex Numbers · Modulus of a product

Let

z = (1 + i)(1 + 2i)(1 + 3i)\ldots(1 + ni)

, where

i = \sqrt{-1}

. If

\lvert z\rvert^2 = 44200

, then

n

is equal to .

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