Absolute Versus Conditional Convergence: Worked Example and Solution

Problem 1: Classify $\sum_{n=1}^{\infty}(-1)^n/n^2$.

Answer: $\text{converges absolutely}$

Why this method: Course synthesis matches the mathematical structure before any algebraic cleanup.

1. The absolute series $\sum1/n^2$ is a p-series with $p=2>1$, so the original series converges absolutely.
2. The verified result is $\text{converges absolutely}$.