Grow n to a very large value with the slider. Some sequences get closer and closer to a single value (converge), while others keep growing without bound or bounce back and forth without ever settling down (diverge).
A sequence is a list of numbers arranged in order. For example, aā = 1/n produces the numbers 1, 1/2, 1/3, 1/4... getting smaller and smaller as n gets larger. No matter how large you make n, it never becomes exactly 0, but it can get as close to 0 as you like. When a sequence gets infinitely close to some value L as n grows without bound, we say it converges.
Not every sequence settles on a single value. If it just keeps growing forever, like aā = n, we call it divergent; if it bounces between two values without ever settling down, like aā = (ā1)āæ, we call it oscillating. Use the slider to grow n up to 1000 or 10000, and directly compare in the table which value each sequence approaches, or whether it never settles down at all.