Cubic Fibonacci
Number Theory
Level
3
Alice challenged her brother Harry to a question.
The question was : What is the largest cube in the fibonacci sequence (starting with 1 ,1)?
The answer is 8.
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1 solution
1, 8 and 144 are the only powers in the Fibonacci sequence. So 8 is the largest cube [because 144 is only a square and 1 is smaller than 8]. This is the 42 page proof