Define a sequence (cn)-o as follows: Sen+1 = Cn – cn–2, n2 2, co = 0,c1 = 2, c2 = 16. 49 225 n > 2, Prove that c,n :5" – 3" for all n E No. Hint: you need three base cases!

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5.4.2 Define a sequence (cn)-0 as follows:
n=0
225
Cn-2,
n > 2,
Cn+1
-
|co = 0,c1 = 2, c2 = 16.
Prove that cn = 5" – 3" for all n E No. Hint: you need three base cases!
Transcribed Image Text:5.4.2 Define a sequence (cn)-0 as follows: n=0 225 Cn-2, n > 2, Cn+1 - |co = 0,c1 = 2, c2 = 16. Prove that cn = 5" – 3" for all n E No. Hint: you need three base cases!
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