This activity shows students the power of finite and infinite series. It can be used as an introduction to infinite series provided that the student is adept at using the sigma notation to denote such series.
Before the Activity
No prior knowledge of how to evaluate the series is necessary since the student will be shown, in great detail, how to do this using a graphing calculator.
See the attached Activity PDF file(s) for detailed instructions for this activity.
During the Activity
Follow the procedures outlined in the Activity.
Be able to evaluate infinite and finite series using the graphing calculator.
After the Activity
Review student answers:
As a class, discuss questions that appeared to be more challenging
Re-teach concepts as necessary