Alg. 1 Exponential Functions & Geometric Sequences TEST PREP

Front

What is an exponential function?

Back

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

How do you find the common ratio in a geometric sequence?

Back

Front

What is the explicit formula for a geometric sequence?

Back

Front

What does it mean for a function to model exponential growth?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time. Growth is modeled with a base greater than 1, and decay with a base between 0 and 1.

Front

How do you convert a percentage increase to a decimal for exponential functions?

Back

To convert a percentage increase to a decimal, divide the percentage by 100. For example, a 3.5% increase becomes 0.035.

Front

What is the formula for compound interest?

Back

Front

How do you identify the next terms in a geometric sequence?

Back

To find the next terms in a geometric sequence, multiply the last known term by the common ratio.

Front

What is the significance of the first term in a geometric sequence?

Back

The first term in a geometric sequence is crucial as it serves as the starting point for calculating all subsequent terms using the common ratio.