Question

What is the arithmetic mean between a^2 and b^2 ?

(a) \(\frac {1}{2}\) (a – b)

(b) \(\frac {1}{2}\) (a + b)

(c) \(\frac {1}{2}\) (a^2 – b^2)

(d) \(\frac {1}{2}\) (a^2 + b^2)

The question was posed to me in homework.

My question is based upon Arithmetic Progression Basics topic in division Arithmetic Progressions of Mathematics – Class 10

Answer 1

Correct choice is (d) \(\frac {1}{2}\) (a^2 + b^2)

Explanation: We know that the arithmetic mean between two numbers is  \(\frac {1}{2}\) (a + b)

∴ Arithmetic mean between a^2 and b^2 = \(\frac {1}{2}\) (a^2 + b^2)