Geometric and Arithmetic 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. This difference is called the common difference.

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) can be found by subtracting any term from the subsequent term: d = a_{n+1} - a_n.

Tags

CCSS.HSF.BF.A.2

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+1} / a_n.

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for an arithmetic sequence?

Back

Tags

CCSS.HSF.BF.A.2

Front

What is the explicit formula for a geometric sequence?

Back

Tags

CCSS.HSF.BF.A.2

Front

Identify if the sequence 52.5, 31.5, 18.9, 11.34 is arithmetic or geometric.

Back

The sequence is geometric.

Tags

CCSS.HSF.BF.A.2

Front

Identify if the sequence 52.5, 37.5, 22.5, 7.5 is arithmetic or geometric.

Back

The sequence is arithmetic.

Tags

CCSS.HSF.BF.A.2

Front

Identify if the sequence 13, 18, 23, 28 is arithmetic or geometric.

Back

The sequence is arithmetic.

Tags

CCSS.HSF.BF.A.2

Front

What is the common difference of the arithmetic sequence 5, 10, 15, 20?

Back

The common difference is 5.

Tags

CCSS.HSF.BF.A.2