Question

How do you get a formula of the nth term for this sequence: 1, 1/2, 3, 1/4, 5, 1/6...?

Answer 1

Notice the sequence has alternating reciprocals.

Explanation:

Use alternating positive and negative exponents on `-1` will cause the value to "flip" every other term:

`a_n = n^((-1)^(n+1))`

Hope that helps