Repeating again and again, without end.
For example, 3/11 = 0.272727... where the "27" keeps repeating forever. That is an example of a recurrent decimal with a recurrence cycle of length 2.
1/7 = 0.142857142857... has a recurring decimal with a recurrence cycle of length 6.
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The mean is usually the arithmetic mean - there are other means in maths. For a set of numbers, the arithmetic mean is the sum of the numbers divided by the number of numbers.