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Differences are 2, 3, 4, so next is 5.
Multiply by 3 each time.
Subtract 3 each time.
Each term is doubled.
Differences are 3, 5, 7, 9, so next difference is 11.
Differences are 1, 2, 3, 4, ...
Add 5 to 11.
These are consecutive square numbers.
Differences are −5, −10, −15, so next is −20.
Patterns follow a predictable rule.
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