If $\frac{1}{b-a}+\frac{1}{b-c}=\frac{1}{a}+\frac{1}{c}$ and $b
eq a+c$, then $a, b, c$ are in

Question

If $\frac{1}{b-a}+\frac{1}{b-c}=\frac{1}{a}+\frac{1}{c}$ and $b 
eq a+c$, then $a, b, c$ are in

Professor PC Thomas Classes · Answer

Algebraically resolving fractions forces $2ac = b(a+c)$, mapping strictly to the HP definition.