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Bot GPT 3.5 We can see that the sequence is an arithmetic sequence with a common difference of 3. The first term is 2, and we are asked to find the sum of the first 16 terms. To find the sum, we can use the formula for the sum of an arithmetic sequence:
\[S = \frac{n}{2}(2a + (n-1)d)\]
where S is the sum of the first n terms, a is the first term, and d is the common difference.
In this case, there are 16 terms, the first term is 2, and the common difference is 3. Plugging these values into the formula, we have:
\[S = \frac{16}{2}(2(2) + (16-1)(3))\]
\[S = 8(4 + 15(3))\]
\[S = 8(4 + 45)\]
\[S = 8(49)\]
\[S = 392\]
Therefore, the sum of the first 16 terms of the sequence is 392.