3.15 Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers in which 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 difference in an arithmetic sequence?

Back

The common difference is found by subtracting any term from the subsequent term.

Front

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

Back

The common ratio is found by dividing any term by the previous term.

Front

Identify the type of sequence: 3, 6, 9, 12, ...

Back

Arithmetic

Front

Identify the type of sequence: 5, 15, 45, 135, ...

Back

Geometric

Front

What is the common difference for the sequence: 10, 7, 4, 1, ...

Back

-3

Front

What is the common ratio for the sequence: 81, 27, 9, 3, ...

Back

1/3

Front

Find the 5th term of the arithmetic sequence: 2, 5, 8, ...

Back

14

Front

Find the 4th term of the geometric sequence: 3, 9, 27, ...

Back

243