Answer
$225$
Work Step by Step
Here, $a_1=-6, d=3$
Sum of first $15$th term of an arithmetic sequence can be calculated as:
$S_n=\dfrac{n}{2}[2a_1+(n-1)d]$
Now,
$S_{15}=\dfrac{15}{2}[2(-6)+(15-1)3]=\dfrac{15}{2}[-12+(14)3]=225$
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