Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

Three numbers in an AP have a sum of 27 and a product of 504. What are the numbers?
Options
A 4, 9, 14
Correct Answer
B 3, 9, 15
C 5, 9, 13
D 2, 9, 16
Correct Answer

Option A is the correct answer.

Detailed Explanation

Let the terms be a - d, a, a + d. The sum is 3a = 27, so a = 9. The product is 9(81 - d^2) = 504, giving d^2 = 25, hence d = 5 and the terms are 4, 9, 14.

Hint

No hint available

Question Info