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 fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Find the common difference for this arithmetic sequence: 3, 10, 17, 24.

Back

7

Front

Identify the common difference for the sequence: 10, 20, 30, 40.

Back

10

Front

What is the next term in the sequence: 2, 4, 6, 8?

Back

10

Front

Identify the common difference for the sequence: 97, 86, 75, 64.

Back

-11

Front

What are the next two terms in the sequence: 4, 7, 10, 13?

Back

16 and 19

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term, add the common difference to the last term.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the fifth term?

Back

The fifth term is 5 + (3 * 4) = 17.

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.