Finding a Formula (General Term) for any Sequence

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Find the next term in the sequence, and if possible, the general formula for the nth term. What value does each sequence approach?

2, 5, 8, 11, 14, 17, ______

2, 3, 5, 9, 17, 33, ______

1, 1, 2, 3, 5, 8, 13, 21, ______
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'.. for any sequence' Riiiight. These are the most basic examples I have ever seen.

gavinvdm