Sequences and functions
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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.
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Solution Summary
This answers some questions that relate functions and sequences.
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Yes, it is a function. This is because each index (element of the domain) is realted to one and only one element in the codomain, and no two elements in the codomain (range) are images of the same element of the domain.
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Linear, because two successive ...
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