Question

How are exponential functions related to geometric sequences?

Answer 1

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,...` 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.