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If a, b, c are in G.P., then the following are also in G.P.

(i) a2, b2, c2

(ii) a3, b3, c3

1 Answer

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by (26.9k points)
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Best answer

(i) Given, a, b, c are in G.P.

∴ b2 = ac

On squaring both side

(b2)2 = (ac)2

⇒ (b2)2 = a2c2

⇒ a2b2c2 are in G.P.

(ii) Given a, b, c are in G.P.

∴ b2 = ac

(b2)3 = (ac)3

⇒ (b3)2 = a3c3

⇒ a3, b3, c3 are in G.P.

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