# Question

You are given the multiplicative congruential generator x0 = 1 and xn+1 ≡ 7xn (modulo 13) for n = 0, 1, 2, . . . .

(a) Calculate xn for n = 1, 2, . . . , 12.

(b) How often does each integer between 1 and 12 appear in the sequence generated in part (a)?

(c) Without performing additional calculations, indicate how x13, x14, . . . will compare with x1, x2, . . . .

(a) Calculate xn for n = 1, 2, . . . , 12.

(b) How often does each integer between 1 and 12 appear in the sequence generated in part (a)?

(c) Without performing additional calculations, indicate how x13, x14, . . . will compare with x1, x2, . . . .

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