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Assn4 - all the solutions instead and 6 3 Chapter 10.2...

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1. Explain what the linearity of (the solutions of) a recurrence relation means, and prove it for the homogeneous first-order linear recurrence relations. 2. Chapter 10.1, exercises 2 (in the cases (a) and (b), the solution is not unique, despite what the statement of the exercise suggests. Describe
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Unformatted text preview: all the solutions, instead) and 6. 3. Chapter 10.2, exercises 1, 3, 4 and 5. 4. Consider the sequence 0 , 1 , 1 , 2 , 3 , 5 , 8 , 13 , . . . of ±ibonacci numbers, F n +2 = F n +1 + F n . Prove that for each n , 1 . 4 n-1 ≤ F n ≤ 1 . 7 n . Determine lim n →∞ n r F n ....
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