Modulus of a product of complex numbers
Modulus of a product of complex numbers
IB Year 6 | Grade 12
Given that \((1+i)(1+2i)(1+3i)\cdots(1+ni)=a+ib\), find the value of \(2\times5\times10\times\ldots\times(1+n^2)\) in terms of \(a\) and \(b\).
Solution:
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Answer:\(a^2+b^2\).
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