Arithmetic and Geometric 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?
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 can affect personally.
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Solution Summary
Arithmetic and Geometric Sequences are investigated.
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Yes, a sequence is a function. The reason is that, for each index, there is at most one value, which satisfies the definition of a function in algebra.
For instance, the arithmetic sequence: 1, 3, 5, 7, 9, ....
Can be written in function form as: a(n) = 1 + 2n. For every n = 0, 1, 2, ... in the domain of this function (The set of natural ...
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