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17 November, 03:43

12. The numbers below are known as Fibonacci numbers. What is the pattern? Give the next three numbers in the sequence. 1,1,2,3,5,8.

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  1. 17 November, 03:58
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    You start from 1 and add the last two numbers in the sequence, and continue.

    Therefore, to start, you'd do 1 + 0 = 1.

    This gives you a sequence of 1, 1, ...

    Similarly, you do 1 + 1 = 2.

    That's a sequence of 1, 1, 2, ... now.

    And you keep repeating:

    1 + 2 = 3 (1, 1, 2, 3, ...)

    2 + 3 = 5 (1, 1, 2, 3, 5, ...)

    3 + 5 = 8 (1, 1, 2, 3, 5, 8, ...)

    Therefore, the next three numbers would follow this pattern:

    8 + 5 = 13 (1, 1, 2, 3, 5, 8, 13, ...)

    13 + 8 = 21 (1, 1, 2, 3, 5, 8, 13, 21, ...)

    21 + 13 = 34 (1, 1, 2, 3, 5, 8, 13, 21, 34, ...)
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