What is the nth term for sequence 2 3 5 8 12?

To find the nth term for this sequence, we first need to identify the pattern. The differences between consecutive terms are 1, 2, 3, and 4, indicating an increasing increment. This suggests the sequence is following a quadratic pattern. By examining the second differences, we see they are constant at 1. This indicates a quadratic sequence, and the nth term can be expressed as Tn = n^2 + 1.