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if abc are in ap then e^(ax+k),e^(bx+k),e^(cx+k) are in a)ap,b)gp,c)hp
If we take ratio like,e^(bx+ k)/ e^(ax +k) = e^(cx +k)/ e^(bx+ k)Now we gete^(b-a)x = e^(c-b)xWhen base is same, then power is compared Henceb-a = c- b2b = a+cThis is the given condition.Hence the terms will be in G.P.(option B)
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