Sum of four consecutive powers of the imaginary unit
Sum of four consecutive powers of the imaginary unit
IB Year 6 | Grade 12
It is given that \(i^{k+1}+i^{k+2}+i^{k+3}+i^{k+4}=b\) where \(k\in\mathbb{Z}^{+}\) and \(b\in\mathbb{R}\). Find the value of \(b\).
Solution:
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Answer:\(b=0\)
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