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Math Help - Help describing pattern (Fibonacci Numbers)

  1. #1
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    Help describing pattern (Fibonacci Numbers)

    Need help to describe following pattern:
    1+1=2
    1+2=5
    2+3=13
    3+5=34
    5+8=89
    etc...
    Thanks
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  2. #2
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    Quote Originally Posted by holmesb View Post
    Need help to describe following pattern:
    1+1=2
    1+2=5
    2+3=13
    3+5=34
    5+8=89
    etc...
    Thanks
    2,5,13,34,89
    Is,
    F(3),F(5),F(7),...

    See the pattern?
    All the odd ones.
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  3. #3
    Super Member

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    Lexington, MA (USA)
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    Hello, holmesb!

    Need help to describe following pattern:
    1 + 1 = 2
    1 + 2 = 5
    2 + 3 = 13
    3 + 5 = 34
    5 + 8 = 89
    . . . etc.
    Code:
    -------------------------------------------------------
      n  | 1 | 2 | 3 | 4 | 5 | 6 |  7 |  8 |  9 | 10 | 11 |
    -----+---+---+---+---+---+---+----+----+----+----+----+
    F(n) | 1 | 1 | 2 | 3 | 5 | 8 | 13 | 21 | 34 | 55 | 89 |
    -------------------------------------------------------
    Look at the list again:

    F(1) + F(2) = F(3)
    F(2) + F(3) = F(5)
    F(3) + F(4) = F(7)
    F(4) + F(5) = F(9)
    F(5) + F(6) = F(11)


    In general: .F(n) + F(n+1) .= .F(2n+1)

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