Complex NumbersHard

Question

If (1 + i) (1 + 2i) ( 1 + 3i) .... (1 + ni) = α + iβ then 2 . 5. 10 .... (1 + n2) =

Options

A.α - iβ
B.α2 - β2
C.α2 + β2
D.none of these

Solution

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