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- W207943707 abstract "Mathematical iteration is a process for generating a sequence in which one or more initial terms are given and each subsequent term is determined from its predecessors in the same way. An equation that describes the relationship between a term and its predecessors is called a recurrence relation . Arithmetic and geometric sequences, common topics in high school algebra courses, are examples of iterative processes. Arithmetic sequences are generated iteratively from an initial term, a 1 , a common difference, d , and a recurrence relation, a n+1 , = a n + d . Geometric sequences are generated from an initial term, a 1 a common ratio, r , and a recurrence relation, a n+1 =a n • r . Mathematical iteration is used in many other mathematical situations and algorithms, such as the Fibonacci sequence, the Euclidean algorithm, and Newton's method for solving equations." @default.
- W207943707 created "2016-06-24" @default.
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- W207943707 date "1993-02-01" @default.
- W207943707 modified "2023-09-25" @default.
- W207943707 title "Mathematical Iteration through Computer Programming" @default.
- W207943707 doi "https://doi.org/10.5951/mt.86.2.0150" @default.
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