This week in math, I learned of the usefulness of graphs for checking arithmetic or geometric sequences. You can easily identify if a sequence is geometric, arithmetic, or neither with a simple graph.
An arithmetic sequence will always be a simple linear graph, meaning it will appear as a straight line.
A geometric sequence will always consist of a curved graph, with the distance between each term on the graph increasing each time. This is a bit harder to identify, but can still be helpful.
So, I learned if you are ever positively unsure about a sequence, put it into a graph, and can get easy results.