1. Write an iterative and a recursive version of the Fibonacci series algorithm. You need to ensure the correctness of the both algorithms. Both algorithms should produce similar output if given a similar input.
a. Measure the performance of the two algorithms by measuring the time for both algorithms to listing out 10, 20, 30, 40, 50, 60, 70 and 80 of Fibonacci numbers. The listing procedure could be done with a loop. For each test, repeat 3 times and get the average value.