Solve the problem

You drop a ball from a height of 66 inches and the ball starts bouncing. After each bounce, the ball reaches a height that is 80% of the previous height. Note: the initial height of the ball is 66 in so sequence notation is a = 66 a) Write the rule for the height of the ball after the nth bounce. Hint: Make a list of value for each bounce first before you find term 1 and the common factor r. b) Find the height of the after the 7 bounce. Show all work that lead your answer. c) What is the total distance traveled by the ball after 7 bounces. Hint: this is distance the ball travel up and down after each bounce together