Here is a worksheet for educational purposes on Sequences:

Calculus I Group Exploration 2, Sequences and Limits

Team member names: ________________________________________________________

The following exercise is designed to arrive at rules for determining long-term behavior directly from a sequence generator function without building a table.

1. Count off a,b,c,d,e,f.  All a’s group up and take sequence a, etc.

   1. an+1=1.05an, a0=543

   2. an+1=0.95an, a0=543

   3. an+1=1.05an, a0=-543

   4. an+1=0.95an, a0=-543

   5. an+1=-1.05an, a0=543

   6. an+1=-0.95an, a0=543

2. Have one person create a Google Spreadsheet.  Make your spreadsheet documents viewable to anyone with a link.  Invite your group members.

3. Make a table and a scatterplot of the data.  Use good axes labeling.  Infer the long term behavior/limit.

4. What is the general solution to the difference equation?  Check your answer using the spreadsheet.  

Add the link and your results (Your difference equation, the general solution, the limit, and the graph) to the class results page here. Please note you must be signed into Unity College Google Apps to edit the class results page.