(a)Verify that the pseudo-random sequence 1,8,13,............is produced by the rule and that it repeats itselfafter 248 terms.

[10Marks]

(b)Find the periods corresponding to the multipliers 10,12,16 and 18 in a multiplicative congruential generator with m=67

[10Marks]

(c)Compute the outputs of the following congruential generators with m=64.

(i)a=29,c=17.

(ii)a=9,c=1.

(iii)a=13,c=0.

(iv)a=11,c=0.[5Marks]