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MathNet 1993 — Part 01 Question 8

Math Olympiad Vault · MathNet 1993 — Part 01

Question 8

The sequence $a_1, a_2, a_3, \ldots$ is defined by $a_1 = 8$, $a_2 = 18$, $a_{n+2} = a_{n+1} \cdot a_n$.
Find all terms which are perfect squares.