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  "body": "\n## Summary\n\nA periodic sequence is a [[sequence|0G9EKM0E15]] that repeats the same finite block of terms forever.\nThe length of the shortest repeating block is its least period.\nPeriodic sequences are the discrete analogue of [[periodic functions|0ATF6Q0633]].\nThey appear as periodic solutions of difference equations, as decimal expansions of rational numbers, and as Fibonacci numbers modulo a fixed integer.\n\n## Explanations\n\n### L1 human\n\nA periodic sequence is a pattern that repeats like a necklace with a fixed set of beads.\nThe sequence $1, 2, 3, 1, 2, 3, \\dots$ repeats after $3$ terms, so it has period $3$.\nThe digits after the decimal point of $1/7 = 0.142857142857\\ldots$ form a periodic sequence of period $6$.\nA constant sequence is periodic with period $1$.\n",
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