Write the recursive and the explicit formulas for the following real life problems: 3. Adam and Eve had two children, and let's say those children had two children
each, and the pattern continued so that every generation has two children each.
a) Write a table of values for the generation number vs. the total number of
children.
b) Write a recursive rule representing the number of children at each generation.
c) Write the explicit rule representing the number of children at each generation.
d) How many children will there be in the 10th generation?
e) How many generations would it take for there to be more than one thousand
children?

Problems and applications q5 four roommates are planning to spend the weekend in their dorm room watching old movies, and they are debating how many to watch. here is their willingness to pay for each film: willingness to pay (dollars) shen antonio dmitri jake first film 10 9 8 3 second film 8 7 6 2 third film 6 5 4 1 fourth film 4 3 2 0 fifth film 2 1 0 0 within the dorm room, the showing of a movie a public good. if it costs $12 to rent a movie, the roommates should rent movies in order to maximize the total surplus. suppose the roommates choose to rent the optimal number of movies you just indicated and then split the cost of renting equally. this means that each roommate will pay $ .