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Prove that the Fibonacci tree Fi (i > 0) has fi+1 nodes, where fk is the the Fibonacci sequence. (The Fibonacci sequence is defined as

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Prove that the Fibonacci tree Fi (i > 0) has fi+1 nodes, where fk is the the Fibonacci sequence. (The Fibonacci sequence is defined as fo = 1, fi 1, fk = fk-1 + fk-2, k> 2. Note that we use fo = 1 here.)

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