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Generally speaking, the pattern involved in this situation occurs when each new term is generated using the opposite operation of the previous term. Here's an example:

1, 2, 0, 3, -1, 4, -6.

Here, the pattern is add 1, subtract 2, add 3, subtract 4, etc . . .

In your example, the pattern is -3 then *2.

7(-2),5(*3),15(-2),13(*3),39

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