Mr. Burton gave his students an extension problem. Consider the diagram below. Need help with Part A and Part B

What is the pattern in the values as the exponents increase?

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

Precalculus question, image attached.