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Reasonably Rational Sequence (Posted on 2005-06-02) Difficulty: 2 of 5
Fill in the blanks:

2, 2.5, _, 4.25, 5.6, _, _, 9.625, 11.111..., 12.9, ...

See The Solution Submitted by Dustin    
Rating: 2.7500 (8 votes)

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Solution Solution | Comment 1 of 6
2, 2.5, 3.333... , 4.25, 5.6, 6.8333... ,8.285714285714... , 9.625, 11.111..., 12.9, 14.545454..., 16.41666..., 18.30769..., ...
or written in fractions
2/1, 5/2, 10/3, 17/4, 28/5, 41/6, 58/7, 77/8, 100/9, 129/10, 160/11, 197/12, 238/13, ...
The difference between the numerators of term (n) and term (n+1) is the (n+1)-th prime number, the denominator of term n is n.

  Posted by Robby Goetschalckx on 2005-06-02 13:24:00
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