Arithmetic Sequences Quick Check

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

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

Given the sequence 4, 7, 10, 13, what are the next two terms?

Back

16 and 19.

Front

Is the sequence 5, 4.25, 3.5, 2.75 an arithmetic sequence?

Back

Yes, because it decreases by the same amount (0.75) each time.

Front

Which of the following is an arithmetic sequence: -2, -5, -8, -11 or 2, 4, 8, 16?

Back

-2, -5, -8, -11 is an arithmetic sequence.

Front

How do you identify the common difference in a sequence?

Back

Subtract the first term from the second term.

Front

What is the common difference in the sequence 97, 86, 75, 64?

Back

d = -11.

Front

How do you find the nth term of an arithmetic sequence?

Back

Use the formula: nth term = first term + (n-1) * common difference.

Front

Find the 22nd term of the sequence 5, 8, 11, ...

Back

The 22nd term is 68.