3. after the club president made the table in problem 1, she realized that she did not account for members leaving the club. she anticipates that after the first year, the book club will lose 3 members per year.
(a) the total number of members the president anticipates losing, from the first year through a given year, forms a sequence. write the iterative rule for the sequence. show your work.
(b) the book club will have a party when the number of members reaches 100. use iterative rules to predict when this party will be held. show your work

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)