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-- If the rule is "triple it and add 2", then the next number is -28 .

-- If the rule is "subtract three times as much as you subtracted last time", then it's still -28 .

-- If the rule is "double it and subtract 2 more than you subtracted last time", then it's -24 .

-- If the rule is "square it and subtract 18 more than you subtracted last time", then it's +56 .

There are many different rules that can generate -2, -4, -10 . . . an infinite number, I think.

We need one more term of the sequence. That would let us see the rule applied twice, and

we could narrow it down and pick the right rule.

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12y ago

What else can I help you with?