What sequences have 17 as the fifth term?

Answer 1

There are infinitely many arithmetic sequences, and infinitely many geometric sequences, and polynomials, and power equations. Basically, there are too many possible sequences.

Arithmetic ones, for example:

13, 14, 15, 16, 17

9, 11, 13, 15, 17

5, 8, 11, 14, 17

1, 5, 9, 13, 17

-3, 2, 7, 12, 17

I hope you get the idea. These are all increasing, and the common differences are integers but both these conditions can be changed.