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MathNet 2010 — Part 02 Question 3

Math Olympiad Vault · MathNet 2010 — Part 02

Question 3

Determining a sequence - In a certain sequence of 80 numbers, any term, except for both ends, is equal to the product of its neighboring terms. The product of the first 40 terms of the sequence is $8$ and the product of all terms is also $8$. Determine the terms of the sequence.