Question 132
Find all positive integers $n$ such that:
$$
-2^0 + 2^1 - 2^2 + 2^3 - 2^4 + \dots - (-2)^n = 4^0 + 4^1 + 4^2 + \dots + 4^{2010}.
$$
$$
-2^0 + 2^1 - 2^2 + 2^3 - 2^4 + \dots - (-2)^n = 4^0 + 4^1 + 4^2 + \dots + 4^{2010}.
$$
MathNet 2010 — Part 06 Question 132
Math Olympiad Vault · MathNet 2010 — Part 06