A Fibonacci series takes the form xn = xn1 + xn2 x0 = 1 and x1 = 1 (i) Use a spreadsheet to generate this series, and hence show that the series is composed of integers. (ii) Solve the recursive equation with a software package and show that all of its factors are irrational numbers but that it takes on integer values for all n, which are identical to those in the spreadsheet.