32. Find m, given that
33. Derive a formula for
34. Conjecture, and test in several cases, formulas for:
(a) 
(b)
(c) 
(d) 

35. Find r, s, and t, given that
36. Find u, v, and w, given thatand.
37. Evaluate the following:





38. Evaluate the expressions of the previous problem with each Fibonacci number replaced by the corresponding Lucas number.

39. Which of the Fibonacci numbersand F₈₀₅ are even?
40. Which of the Fibonacci numbers of the previous problem are exactly divisible by 3?