4. Solve the recurrence relation an = to the initial conditions ao = 1, a₁ = 1. Ans: an = 5an-1-6an-2 (n> 1) subject -3n+2n+1 5. For each of the following, find an integer a satisfying the given conditions: i. ii. a = 8 (mod 43) and 62 ≤ a ≤ 104 a = -14 (mod 37) and 64 ≤ a ≤ 100 Ans: a = 94 Ans: a = 97

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