pair that becomes productive at the age of two months. If we start with a newborn pair a) How many pairs of rabbits will there be at the end of one year? Fill in the table: Month # adult pairs #one-month-old #newborn pairs | Total pairs pairs 0 IN 2 21 13 34 10 aL 55 11 34 21 3 4 84 12 5 5 3 4 5 5 144 b) Find a recursive formula for fn, the number of rabbits at the end of n months (that is, find a formula in terms of the number of rabbits in the months prior to that month). c) Define a new sequence an by an = fn+1/fn. Show that anti = 1 + (1/an). d) Assuming that {an; converges to some number L, find L. [Hint: use the equation at the end of part c and take the limit of both sides.]