Question

Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation.

Answer 1

An example scenario is:

Anthony goes to the gym for 20 minutes on Monday. Every day he multiplies his gym time by 2. 

On the fifth day, he will spend spend 320 minutes in the gym. 

The formula used to determine the 5th term is,

                                       a5 = 20 x 2^(r -1) 

where r is the common ratio equal to 2.