In an arithmetic sequence, the sum of the first \(n\) terms can be calculated using the formula:

\[S_n = \frac{n}{2} \cdot (2a + (n - 1)d)\]

Where:

- \(S_n\) is the sum of the first \(n\) terms.

- \(n\) is the number of terms.

- \(a\) is the first term.

- \(d\) is the common difference.

Given that the first term \(a\) is 2, the common difference \(d\) is 3, and the number of terms \(n\) is 11, we can plug these values into the formula:

\[S_{11} = \frac{11}{2} \cdot (2 \cdot 2 + (11 - 1) \cdot 3)\]

\[S_{11} = \frac{11}{2} \cdot (4 + 30)\]

\[S_{11} = \frac{11}{2} \cdot 34\]

\[S_{11} = 187\]

So, the sum of the first 11 terms of the arithmetic sequence is 187.