If one AM $a$ and two GMs $p$ and $q$ are inserted between two positive numbers, then the value of $p^3 + q^3$ is

✅ Correct Answer: $2apq$

Explanation

Let the numbers be $x$ and $y$ $(x + y)/2 = a$ $x + y = 2a$ $x, p, q, y$ are in GP $p^2 = xq$ $q^2 = py$ $p^3 + q^3 = pq(x + y)$ $= pq(2a) = 2apq$

🎯 Happy Preparation — ACME Academy

ACMEACME Score Analyser
If one AM $a$ and two GMs $p$ and $q$ are inserted between two positive numbers, then the value of $p^3 + q^3$ is | ACME Academy