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If x, y, and z represent the pᵗʰ, qᵗʰ, and rᵗʰ terms of both an arithmetic progression and a geometric progression, what is the value of (xʳ)(yᵖ)(zᵠ)?

1. 1
2. -1
3. 0
4. 2

Correct answer: 1

Solution

Since x, y, and z represent the pᵗʰ, qᵗʰ, and rᵗʰ terms of both an arithmetic progression and a geometric progression, the value of (xʳ)(yᵖ)(zᵠ) simplifies to 1 due to the properties of these progressions.

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