Answer
$\pi$
Work Step by Step
$\sum\limits_{k=1}^5\frac{\pi k}{15}=\frac{\pi }{15}\cdot\sum\limits_{k=1}^5k=\frac{\pi }{15}\cdot(1+2+3+4+5)=\frac{\pi }{15}\cdot15=\pi$
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