8.2 Geometric Sequences

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 4, 8, 16, 32?

Back

The common ratio is 2, as each term is multiplied by 2 to get the next term.

Front

Find the 9th term in the geometric sequence 4, 8, 16, 32, ...

Back

The 9th term is 1,024.

Front

What is the formula for the nth term of the sequence -4, -12, -36, -108?

Back

Front

What does the variable n represent in the context of sequences?

Back

In the context of sequences, n represents the term number you are trying to find.

Front

What is the equation that represents Mr. Harris’s retirement savings account balance?

Back

Front

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

Back

To determine the next terms, multiply the last known term by the common ratio.

Front

What is the common ratio in the sequence -4, -12, -36, -108?

Back

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

Front

What is the exponential equation that represents the length and weight of a species of fish?

Back