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  2. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    In mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers , commonly denoted F n .

  3. Fibonacci retracement - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_retracement

    In finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. [1] It is named after the Fibonacci sequence of numbers, [ 1 ] whose ratios provide price levels to which markets tend to retrace a portion of a move, before a trend continues in the original direction.

  4. Generalizations of Fibonacci numbers - Wikipedia

    en.wikipedia.org/wiki/Generalizations_of...

    A Fibonacci sequence of order n is an integer sequence in which each sequence element is the sum of the previous elements (with the exception of the first elements in the sequence). The usual Fibonacci numbers are a Fibonacci sequence of order 2.

  5. Reciprocal Fibonacci constant - Wikipedia

    en.wikipedia.org/wiki/Reciprocal_Fibonacci_constant

    The reciprocal Fibonacci constant ψ is the sum of the reciprocals of the Fibonacci numbers: = = = + + + + + + + +. Because the ratio of successive terms tends to the reciprocal of the golden ratio, which is less than 1, the ratio test shows that the sum converges.

  6. Fibonacci search technique - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_search_technique

    Fibonacci search has an average- and worst-case complexity of O(log n) (see Big O notation). The Fibonacci sequence has the property that a number is the sum of its two predecessors. Therefore the sequence can be computed by repeated addition. The ratio of two consecutive numbers approaches the Golden ratio, 1.618... Binary search works by ...

  7. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    Both the Fibonacci sequence and the sequence of Lucas numbers can be used to generate approximate forms of the golden spiral (which is a special form of a logarithmic spiral) using quarter-circles with radii from these sequences, differing only slightly from the true golden logarithmic spiral.

  8. The Numerology Meaning of the Last Day of the Year 12/31/23

    www.aol.com/numerology-meaning-last-day-12...

    123123 Date Numerology Meaning. The last day of 2023 marks the opening of the 12/31/23 portal, a numerological date that symbolizes the end of one cycle and the beginning of a new one.

  9. Recurrence relation - Wikipedia

    en.wikipedia.org/wiki/Recurrence_relation

    In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only previous terms of the sequence appear in the equation, for a parameter that is independent of ; this number is called the order of the relation.