10. How are geometric sequences and exponential functions alike? How are they different?
Geometric sequences can be modeled by exponential functions using the common ratio and the initial term. Exponential growth and exponential decay functions can be used to model situations where a quantity increases or decreases by the same rate in each time period. The average rate of change for exponential functions either increases or decreases as the value of x increases. Exponential functions can be used to predict the value at a particular point in time of the function.