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MathNet 1983 — Part 01 Question 26

Math Olympiad Vault · MathNet 1983 — Part 01

Question 26

$a_n$ is the last digit of $[10^{n / 2}]$. Is the sequence $a_n$ periodic?

$b_n$ is the last digit of $[2^{n / 2}]$. Is the sequence $b_n$ periodic?