supplementary. The figure f: N -> N describe the number of buds by n
Days ago. On the first day the plant has a bud, i.e. f(1) = 1.
(a) Give a recursive description of fan.
(b) Determine f(n) for n 5.
(c) Make a conjecture for the explicit form of f and prove this
with complete induction.
(d) How many buds does the plant have after 10 days?