Series: Associativity?
Instructions
In the dynamic activity below, there are two example 'series'. Select each series at the top-left will allow you to switch between the different examples.
For each series, drag the 'n' slider to generate subsequent terms in the series (sequence of partial sums). The left-hand side displays a series ; the right-hand side displays the series with re-arranged terms of .
Reflection Questions
Does the associative property hold for the two examples? Under what kind of condition would the associative property hold for an infinite series?