6.17 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.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added or subtracted to get from one term to the next in an arithmetic sequence.

Front

Identify the common difference: 5, 10, 15, 20, ...

Back

5

Front

Identify the common difference: 100, 90, 80, 70, ...

Back

-10

Front

What do we call each individual number in a sequence?

Back

Term

Front

Identify the common difference: 1, 4, 7, 10, ...

Back

3

Front

Identify the next two terms of the sequence 2, 5, 8, 11.

Back

14 and 17

Front

Identify the common difference: 12, 15, 18, 21, ...

Back

3

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Identify the common difference: 20, 15, 10, 5, ...

Back

-5