Inquring on alternating series test

I’ve been working on a math problem involving series, and I encountered a series that alternates between positive and negative terms. I’m trying to determine if it converges or diverges, but I’m unsure how to approach this. I’ve heard about different tests for series, and I’m particularly interested in the “alternating series test.” Can someone explain how to apply this test and whether it’s suitable for my problem?

The Alternating Series Test checks if terms decrease in magnitude and approach zero.