A Disguise of Something Else
Algebra
Level
3
\[ iz^2=1+\dfrac 2z + \dfrac{3}{z^2}+\dfrac{4}{z ^3}+\dfrac{5}{z^4}+\cdots\]
For \(i = \sqrt{-1}\), a complex number, \(z=n\pm \sqrt{-i}\) satisfy the equation above. What is the value of \(\lfloor 100n \rfloor\)?
by
Parth Lohomi