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How are exponential functions related to geometric sequences?
in Mathematics by Platinum (130,878 points) | 192 views

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Geometric sequences are the discrete version of exponential functions, which are continuous.
 

Explanation:
Geometric sequences are formed by choosing a starting value and generating each subsequent value by multiplying the previous value by some constant called the geometric ratio. If a formula is provided, terms of the sequence are calculated by substituting \(n=0,1,2,3, \ldots\) into the formula. Note how only whole numbers are used, because it doesn't make sense to have a "one and three-quarterth" term. With an exponential function, the inputs can be any real number from negative infinity to positive infinity.

by Platinum (130,878 points)

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