Define the strings Fn (n 1) as follows: Thus, for example, we find F3 = 10, F4
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Question:
Define the strings Fn (n 1) as follows:
Thus, for example, we find F3 = 10, F4 = 101, and so on.
(a) Prove that no Fi contains either 00 or 111 as a substring.
(b) Guess the relationship between FiFi+1 and Fi+1Fi, and prove your guess by induction .
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