Premier League Fibonacci Quiz Puzzle


In the English Premier League both Blackburn Rovers and Leicester City have won one title, Liverpool has won two titles, Arsenal has won three titles, Chelsea has won five titles, Manchester City has won eight titles and Manchester United has won 13 titles.

The number of wins by these seven teams (1, 1, 2, 3, 5, 8, 13) form a Fibonacci sequence.

Clearly this sequence will be broken no matter which team wins this season.

But it is possible, some time in the future, that the number of wins by the teams that win the Premier League could, once again, form a Fibonacci sequence. What is the fewest number of seasons before this is possible, although it is rather unlikely?

Note: this is the standard Fibonacci sequence starting 1, 1 or 0, 1, 1.

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Answer at 9.00 on Monday

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