Identify the pattern in the following sequence and write an algebraic expression for the nth term: 2,5,8,11,14…

Since the difference between consecutive terms is constant, this is an arithmetic sequence with a common difference $d=3$.

The first term of the sequence, denoted as $a_1$, is 2.

The formula for the $n$-th term ($a_n$) of an arithmetic sequence is given by:

where $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.

Substitute $a_1 = 2$ and $d = 3$:

Distribute the 3:

Combine the constant terms:

The algebraic expression for the $n$-th term is $\boxed{3n - 1}$.