If 1/2 (x+y),y and 1/2(y+z) be in H.P Show that x,y,z are in G.P

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If 1/2 (x+y),y and 1/2(y+z) be in H.P Show that x,y,z are in G.P
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If a, b, c are in hp then prove that b+c/bc, a+c/ac, a+b/ab are in ap​???

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