if a, b, c are in GP show that 1/a , 1/b, 1/c are in GP
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➢We have , a , b and c are in GP . Let common ratio be. ∴ b = ax c = bx = ax 2 Now , 1 b ÷ 1 a = a b = a ax = 1 x And 1 c ÷ 1 b = b c = ax ax 2 = 1 x Therefore , 1 a , 1 b and 1 c are in GP .
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