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For a linear sequence (same differences) look for the difference first. E.g.
7, 11, 15, 19 ...This has a difference of 4 so the first part of the rule is 4n. (the rule follows the 4 times table)
Now compare the sequence to the 4 times table
7, 11, 15, 19 ...4, 8, 12, 16 ...Out sequence is always 3 larger than the four times table so we adjust our rule by adding 3. So our final rule is 4n + 3.
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