Linear, quadratic, rational, or exponential functions
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a) Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
b) Which one of the basic functions (linear, quadratic, rational or exponential) is related to the arithmetic sequence?
c) Which one of the basic functions (linear, quadratic, rational or exponential) is related to the geometric sequence?
d) Give at least two real-life examples of a sequence or series. One example should be arithmetic, and the second should be geometric. Explain how these would affect you personally.
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Solution Summary
The relationship between sequences and functions are investigated. The solution is brief and demonstrates a linear and exponential function.
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Yes, sequence is a function of index.
Linear function is related to the arithmetic sequence, such as ...
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