Purely imaginary powers of a complex number
Purely imaginary powers of a complex number
IB Year 6 | Grade 12
Find the values of \(n\), where \(n\in\mathbb{Z}^{+}\), such that \((1+i)^n\) is purely imaginary.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:\(n\equiv2\pmod4\), i.e. \(n=2,6,10,\ldots\)
Need help? Join our JC Math tuition classes.
Learn more