Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

If x, y, and z are in AP, what is the value of (x + 2y - z)(2y + z - x)(z + x - y)?
Options
A 4xyz
Correct Answer
B 2xyz
C 8xyz
D xyz
Correct Answer

Option A is the correct answer.

Detailed Explanation

Since x + z = 2y, we have x + 2y - z = 2x, 2y + z - x = 2z, and z + x - y = y. Their product is (2x)(2z)(y) = 4xyz.

Hint

No hint available

Question Info