Answer
4
Work Step by Step
4$\Sigma$k=1 $(-1)^{k}$ cos k$\pi$=$(-1)^{1}$ cos 1$\pi$ +$(-1)^{2}$ cos(2$\pi$)+$(-1)^{3}$ cos(3$\pi$)+$(-1)^{4}$ cos(4$\pi$)
=-(-1)+1-1(-1)+1
=4
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