Multiple choice general knowledge math & puzzles

A number of squares are such that their perimeter is in G.P then these sides will be in

  1. G.P

  2. A.P

  3. H.P

  4. can't be said.
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A Correct answer
Explanation

For squares, perimeter P = 4s where s is the side length. If perimeters are in GP with common ratio r, then P₁, P₂, P₃... form a GP, meaning 4s₁, 4s₂, 4s₃... form a GP. Dividing each term by 4 gives s₁, s₂, s₃... which will also be in GP with the same common ratio r.

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