Question

Let \( a, a + r \) and \( a + 2r \) be positive real numbers such that their product is 64. Then the minimum value of \( a + 2r \) is equal to:

• A. \( 4 \)
• B. \( 3 \)
• C. \( 2 \)
• D. \( \frac{1}{2} \)
• E. \( 1 \)

Hint:

For positive numbers in A.P. with a fixed product, the individual terms are at their "least extreme" values when the common difference \( r \) is zero.

Answer 1

The Correct Option is A