Question 10
Given: (i) $a, b \gt 0$; (ii) $a, A_{1}, A_{2}, b$ is an arithmetic progression; (iii) $a, G_{1}, G_{2}, b$ is a geometric progression. Show that
$$
A_{1} A_{2} \geq G_{1} G_{2}
$$
$$
A_{1} A_{2} \geq G_{1} G_{2}
$$
MathNet 1979 — Part 01 Question 10
Math Olympiad Vault · MathNet 1979 — Part 01