## anonymous 5 years ago Using complete sentences, explain the difference between an exponential function and a geometric series.

1. anonymous

you can just google that you know

2. jim_thompson5910

An exponential function is very similar to a geometric series, but you can plug in non-integer inputs into an exponential function (whereas you cannot with a geometric series)

3. jim_thompson5910

Example of an exponential function: f(x) = 2^x Example of a geometric sequence: a[n] = 2^n In the first, you can plug in ANY real number. In the second, you can only plug in positive integers.

4. jim_thompson5910

So the first is continuous, and the second is discrete.

A Geometric function has variable number of terms, based on the argument. It also has a discrete graph. It may follow an exponential curve. An Exponential function is a function of a constant number of exponential terms. It is a continuous curve; the exponents are from the set of real numbers

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