It is the Fibonacci sequence. Whereby each number is the sum of the preceding two numbers. The next digits are 13(5+8) 21 (13+8)etc.
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That's the famous Fibonacci sequence, where every term is the sum of the previous two.
132134...
1, 1, 2, 4, 7, 13, 24, 44... You add the last 3 numbers of the sequence together.
Although the numbers are going up in threes, because the first number in the sequence is not a multiple of 3, the rest will not be, either.
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.