Final AP Pre-Calculus

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 nth term of a geometric sequence?

Back

Front

What is the common ratio in the sequence 5, 15, 45?

Back

The common ratio (r) is 3, as each term is multiplied by 3 to get the next term.

Front

What is the formula for the logarithmic function?

Back

Front

How do you graph a logarithmic function?

Back

To graph a logarithmic function, identify the vertical asymptote, plot key points, and use the properties of logarithms to sketch the curve.

Front

What is function composition?

Back

Front

How do you find g(h(1)) if g(a) = 4a + 1 and h(a) = -3a + 2?

Back

First, find h(1) = -3(1) + 2 = -1. Then, find g(-1) = 4(-1) + 1 = -3.

Front

What is an exponential function?

Back

Front

How do you identify the base of an exponential function from its equation?

Back

Front

What is the difference between a geometric sequence and an arithmetic sequence?

Back

A geometric sequence has a constant ratio between consecutive terms, while an arithmetic sequence has a constant difference between consecutive terms.