Question: (b) Two sequences of integer numbers an and bn satisfy the following conditions: a1 = 1, b1 = 2; an+1 = 5an + 1 (mod

(b) Two sequences of integer numbers an and bn satisfy the following conditions: a1 = 1, b1 = 2; an+1 = 5an + 1 (mod 2022), bn+1 = 5bn + 1 (mod 2022) for all integer n > 1. Show that for all n E Zoo, an # bn (mod 2022)

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