5.5 Geometric Sequences Lesson Check

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

The common ratio (r) can be found by dividing any term by the previous term: r = a_n / a_(n-1).

Front

What is the general formula for the nth term of a geometric sequence?

Back

Front

Given the sequence 64, -32, 16, -8, what is the general rule?

Back

Front

What is the explicit rule for the sequence 125, 25, 5?

Back

Front

Is the sequence 2, 4, 12, 48 geometric?

Back

No, there is not a common ratio.

Front

What is the common ratio for the sequence 28, 14, 7, 3.5?

Back

Front

What is the recursive formula for a geometric sequence?

Back

Front

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

Back

In a geometric sequence, each term is multiplied by a common ratio, while in an arithmetic sequence, each term is added to a common difference.

Front

How can you determine if a sequence is geometric?

Back

To determine if a sequence is geometric, check if the ratio of consecutive terms is constant.