What is the Nth term for the sequence 5-8-13-20-29?

To find the Nth term of the sequence 5, 8, 13, 20, 29, we first observe the differences between consecutive terms: 3, 5, 7, and 9, which increases by 2 each time. This suggests the sequence is quadratic. The Nth term can be expressed as ( a_n = n^2 + 4n + 1 ), or more simply as ( a_n = n^2 + 3n + 5 ), where ( n ) starts from 1.