how can solve that :
•Consider the LCG defined by m = 16, a = 5, c = 3, and Z0 = 7. Compute until Z19 and verify that when i = 16, the exact the same order will show up. Show all results in a table.
•For the following multiplicative LCGs, compute Zi for enough values of i that is greater or equal to one to cover the entire cycle:
•Zi = (11Zi-1)(mod 16), Z0 = 1
•Zi = (3Zi-1)(mod 13), Z0 = 1
•Without actually computing any Zi's, determine which of the following mixed LCGs have full period:
•Zi = (13Zi-1 + 13)(mod 16)
•Zi = (12Zi-1 + 13)(mod 16)
•Zi = (13Zi-1 + 12)(mod 16)
•Zi = (Zi-1 + 12)(mod 13)
•For the mixed LCGs in Problem 4, compute Zi of (b) and (c) for enough value of i that is greater and equal to 1 to cover entire cycle; let Z0 = 1 in each case. Comment on the results.