What is the next Fibonacci number in the following sequence: 1, 1, 2, 3, 5, 8, 13, 21?

The next Fibonacci number in the sequence is 34.

In the Fibonacci sequence, each number is the sum of the two preceding ones. Starting with 1 and 1, the sequence progresses as follows:

  • 1 (first number)
  • 1 (second number)
  • 1 + 1 = 2 (third number)
  • 1 + 2 = 3 (fourth number)
  • 2 + 3 = 5 (fifth number)
  • 3 + 5 = 8 (sixth number)
  • 5 + 8 = 13 (seventh number)
  • 8 + 13 = 21 (eighth number)

Continuing this pattern, the next number can be found by adding the last two numbers in the sequence:

13 (seventh number) + 21 (eighth number) = 34 (ninth number).

Thus, the answer is 34.

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