Dear x_expired.jello_x,
The next five numbers in the sequence could be 14, 48, 36, 17, 96.
If you look at every third term, there are three subsequences interleaved within the main sequence:
1, 2, 3, 4, 5, 6, 9, 8, 12, 16, 11, 24, 25, . . . , (main sequence)
1, X, X, 4, X, X, 9, X, X, 16, X, X, 25, X, X, . . . , n^2
X, 2, X, X, 5, X, X, 8, X, X, 11, X, X, . . . , 3*n-1
X, X, 3, X, X, 6, X, X, 12, X, X, 24, X, X, . . . , 3*2^(n-1)
where n corresponds to the index of the term in the respective subsequence (the X's are just for spacing related to the main sequence).
In other words, the first subsequence contains perfect squares of the positive integers (starting from 1), the second subsequence contains terms that increase by 3 over the previous term (starting from 2), and the third subsequence contains terms that double the previous term (starting from 3).
2006-08-24 03:40:05
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answer #2
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answered by wiseguy 6
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