Solve the recurrence, to find hn in closed form in terms

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Practice Problems

Fix an integer k ≥ 1. Consider the sequence that satisfies the recurrence

(i) Solve the recurrence, to find hn in closed form in terms of n and k.

(ii) Prove that your answer to (i) is correct.

Hint

MathematicsAn integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1....

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