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

Write a recursive rule for the arithmetic sequence 3, 7, 11, 15...

Back

a_n = a_{n-1} + 4.

Front

Find the 10th term of the arithmetic sequence 2, 5, 8, 11...

Back

The 10th term is 32.

Front

What is the explicit formula for the arithmetic sequence 5, 10, 15, 20...?

Back

a_n = 5n.

Front

Determine if the sequence 10, 7, 4, 1 is an arithmetic sequence.

Back

Yes, because it decreases by 3 each time.

Front

What is the 5th term of the sequence defined by a_n = 2n + 3?

Back

The 5th term is 13.

Front

If the first term of an arithmetic sequence is 12 and the common difference is -2, what is the 6th term?

Back

The 6th term is 0.

Front

Write the explicit formula for the sequence 25, 21, 17, 13...

Back

a_n = -4n + 29.

Front

What is the next term in the sequence 4, 7, 10, 13?

Back

The next term is 16.