Answer
$P_{k+1}\frac{1}{2(k+3)}=\frac{1}{2k+6}$
Work Step by Step
$P_k=\frac{1}{2(k+2)}$
$P_{k+1}=\frac{1}{2[(k+1)+2]}=\frac{1}{2(k+3)}=\frac{1}{2k+6}$
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