By definition, 0 and 1 are the first two numbers. Each subsequent number is the sum of the previous two numbers.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
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The sequence 112358132124 is a variation of the Fibonacci sequence, where each number is the sum of the two preceding ones. It starts with 1, 1, 2, 3, 5, 8, 13, 21, and 34. In this case, the sequence is presented as a concatenated string of its first 12 Fibonacci numbers. Thus, it represents the digits of the Fibonacci numbers lined up together.
12 12
You can peg that out by looking at the difference between the numbers given: 3, 5, 8, 13, 21, 34, 55, 89, 144 You may recognize those differences as being numbers in the Fibonacci sequence, where each number is the sum of the two preceding ones. The next number in that sequence then would be 89 + 144, or 233, which means that the next number in the given sequence will be 376 + 233, or 609.
It is 30; the first, third, and fifth numbers form the sequence 12, 18, 24. The second, fourth, and sixth numbers follow the sequence 11, 14, 17. Logically, the seventh number must be 24 + 6, so 30.
11, -10, 9