Answer
$440$
Work Step by Step
The sum of the first $n$ terms of an arithmetic sequence can be obtained by the following formula: $\frac{n(a_1+a_n)}{2},$ where $a_1$ is the first term, $a_n$ is the nth term and $n$ is the number of terms.
The nth term of an arithmetic sequence can be obtained by the following formula: $a_n=a_1+(n-1)d$, where $a_1$ is the first term and $d$ is the common difference.
Hence here: $n=16,a_1=3\cdot1+2=5,3,a_{16}=3\cdot16+2=50$
Thus the sum:$\frac{16(5+50)}{2}=8\cdot55=440$
