Answer
$-3013$.
Work Step by Step
We can see that there are $46$ terms and these terms are part of an arithmetic sequence, so we have: $a_1=2$
There is a constant difference between the terms of: $d=-3$
The sum of the first $n$ terms of an arithmetic sequence is given by:
$S_{n}= \dfrac{n}{2}\left[2a_{1}+(n-1) d\right] ..(1)$
Now, we plug in the above data into Equation-1 to obtain:
$S_{46}= \dfrac{46}{2}[(2)(2)+(46-1)(-3)] \\=(23)(-131) \\= -3013$
Therefore, the sum of the arithmetic sequence is: $-3013$.
