PLEASE ANSWER BOTH QUESTIONS AND SHOW YOUR WORK AS THE QUESTION ASKED. Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average of 5% each year since then.

Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.

Use the rule to determine what the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work.


The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.

What is the recursive rule for the sequence?

What is the iterative rule for the sequence?