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4. Let C(n}=C(n—1)+2C(n—2) describe integer numbers, where C{l)=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 neghgihie term) is correct.

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Since; c ( n ) = 27-1.
+2 27-2
- 2
n - 1 .
2. 2n - 1
+ 2: 2. 2 0 - 2
= 2.27-1
( multipling
37 2% + 2.207 -1
by 2 )
- c ( n + 1 ) - cm + 1 .
So, it is tove for miel) also
So, by mathematical...

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