Question

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Every day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.

Answer 1

The example scenario is:

Jasmine, practices the piano for 20 minutes on Monday. Every day she increases her practice time by 20 minutes. 

On the 7th day, Jasmine will spend 140 minutes practicing her piano. 

The equation used to determine the 7th term is,
 
                                          a7 = 20 + (7 - 1) x d

where d is the common difference, 20.