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The given series is 3 - 5 - 8 - 13 - 21. Let’s explore the pattern:

  1. Each term in the series is the sum of the two preceding terms:

    • (5 = 3 + 2)
    • (8 = 5 + 3)
    • (13 = 8 + 5)
    • (21 = 13 + 8)
  2. This sequence follows the Fibonacci pattern, where each number is the sum of the two preceding ones.

  3. To find the next term, we add the last two terms:

    • (21 + 13 = 34)

Therefore, the next number in the series is 3412.

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