If a, b, c are in GP, prove that are in AP.

Question

Philoid · Accepted Answer

To prove: are in AP

Given: a, b, c are in GP

Formula used: When a,b,c are in GP, b² = ac

When a,b,c are in GP, b² = ac

Taking and

⇒

⇒ [ b² = ac ]

⇒

We can see that

Hence we can say that are in AP.