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    Recurrence Relation

    Alternate name

    recurrence formula

    Basic definition

    A recurrence relation is a mathematical relationship expressing the members of a sequence as some combination of their predecessors.

    Detailed definition

    A mathematical relationship expressing f_n as some combination of f_i with i<n. When formulated as an equation to be solved, recurrence relations are known as recurrence equations, or sometimes difference equations.

    Related terms

    recurrence equation | recursive sequence

    Educational grade level

    college level

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