What is the maximum period attainable with a multiplicative

Question

1. What is the maximum period attainable with a multiplicative congruential sequence with l=11 and n = 16? What will the period be with N₁ = 1? N₁ = 2?

2. Consider the linear congruential sequence with l= 15, m = 17, n = 49 and N₁ = 15.It is the maximum period (49)attained? What if N₁ = 16?

3. Show that in a linear congruential sequence with n = 2^Q , m odd and 1= 1 (mod 4) the maximum period is attained.