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Home » If a, b, c are in GP, prove that a2, b2, c2 are in GP.
If a, b, c are in GP, prove that a2, b2, c2 are in GP.
CBSE | Class 11 | Excercise 12E | Geometrical Progression | Maths | RS Aggarwal
If a, b, c are in GP, prove that a2, b2, c2 are in GP.

Answer : To prove: a2, b2, c2 are in GP

Given: a, b, c are in GP Proof: As a, b, c are in GP

⇒ b2 = ac … (i) Considering b2, c2

= common ratio = r

⇒       [From eqn. (i)]

⇒      = r

Considering a2, b2

= common ratio = r

[From eqn. (i)]

We can see that in both the cases we have obtained a common ratio. Hence a2, b2, c2 are in GP.

i

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