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4 (25 pts). Let C(n)=C(n1)+2C(n2) describe integer numbers, where C(1)=1 and C(2)=2. Answer these two questions: (1) Find the closed form for this recurrence relation.

4 (25 pts). Let C(n)=C(n1)+2C(n2) describe integer numbers, where C(1)=1 and C(2)=2. Answer these two questions: (1) Find the closed form for this recurrence relation. (2) Prove by mathematical induction that the closed form you found (before discarding the negligible term) is correct

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