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Math Help - types of functions

  1. #1
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    types of functions

    Using the index of a series as the domain and the value of the series as the range, is a series a function?

    Include the following in your answer:

    Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
    Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
    Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by harry View Post
    Using the index of a series as the domain and the value of the series as the range, is a series a function?
    I presume that you mean a sequence {a_n; n=1, 2, ... N}

    Define f from {1, 2, .. ,N} to {a_1, a_2, .. ,a_N} so that f(n)=a_n then this
    is a function.

    Include the following in your answer:

    Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
    Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
    Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
    These are unrelated to the first part of the question.

    RonL
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