Unit 9 Test Review

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 n-th term of a geometric sequence?

Back

The n-th term of a geometric sequence can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the common ratio in the sequence -4, -16, -64, -256, -1024, -4096?

Back

The common ratio is -4, as each term is obtained by multiplying the previous term by -4.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line, typically expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope of a linear function from a scatterplot?

Back

The slope of a linear function can be determined by selecting two points on the line and using the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

What is the process for simplifying square roots?

Back

To simplify a square root, factor the number under the root into its prime factors, pair them, and take one factor out of the root for each pair.

Front

Back

Front

What is a recursive sequence?

Back

A recursive sequence is a sequence in which each term is defined as a function of one or more of the preceding terms.

Front

How do you find the first few terms of a recursive sequence?

Back

To find the first few terms of a recursive sequence, start with the initial term(s) and apply the recursive formula repeatedly.