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If p, q, r form an arithmetic progression, a is the geometric mean of p and q, and b is the geometric mean of q and r, then the terms a², q², and b² are in which progression?

1. G.P.
2. A.P.
3. H.P.
4. None of these

Correct answer: A.P.

Solution

Since p, q, r are in arithmetic progression, the relationship between them ensures that the squares of the geometric means a and b, along with q, maintain a consistent difference, thereby forming an arithmetic progression.

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