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For ITSC 2175 4. List the first six terms of the sequence defined by the recurrence relation and initial condition defined below. What do you

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4. List the first six terms of the sequence defined by the recurrence relation and initial condition defined below. What do you notice about the terms of the sequence that is generated? (Extra challenges: Find a closed-form formula for f(n). Then prove, by mathematical induction, that your formula is correct.) f(0) 0 f(n)-f(n-1)+n3

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