Question 3
Simplify the expression
$$
\left(1+\frac{1}{i}+\frac{1}{i^{2}}+\ldots+\frac{1}{i^{2014}}\right)^{2}.
$$
$$
\left(1+\frac{1}{i}+\frac{1}{i^{2}}+\ldots+\frac{1}{i^{2014}}\right)^{2}.
$$
MathNet 2014 Question 3
Math Olympiad Vault · MathNet 2014