Is a Sequence a Function? Aritmetic and Geometric Sequences; Real Life Examples of Sequences
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Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.
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Solution Summary
Functions and sequences are discussed. The solution is detailed and well presented.
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Yes, a sequence is a function.
A function is officially defined as a binary relation f with the property that for each element x of the domain of f there is one and only one element y of the codomain of f such that x is related by f to y. (This uniquely determined element of the codomain is denoted by f(x)).
A function is also defined as a set of ordered pairs with the ...
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