If a 2 , b 2 , c 2 are in A.P., prove that are in A.P.

Question

Philoid · Accepted Answer

If a², b², c² are in A.P then, b² - a² = c² - b²

If are in A.P. then,

Since, b² - a² = c² - b²

Put b² - a²= c² - b² in above,

We get LHS = RHS

Hence given terms are in AP

If a2, b2, c2 are in A.P., prove that are in A.P.