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13 May, 13:40

What is second number of sequence when the first number is 1 and the tenth number is 111?

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  1. 13 May, 13:55
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    Let x be the second number in the Fibonacci sequence.

    Then we have the sequence is as follows:

    1st: 1

    2nd: x

    3rd: 1 + x

    4th: 1 + 2x

    5th: 2 + 3x

    6th: 3 + 5x

    7th: 5 + 8x

    8th: 8 + 13x

    9th: 13 + 21x

    10th: 21 + 34x

    so 111 = 21 + 34x, so 34x = 90, so x = 90/34 = 45/17.

    Thus the second term would be 45/17. (if I haven’t made any errors in arithmetic).
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