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

Identify the common difference in the sequence: 3, 7, 11, 15.

Back

The common difference is 4.

Front

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

Back

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

Front

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

Back

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

Front

Write a recursive rule for the sequence 17, 1, -15, -31.

Back

a_n = a_{n-1} - 16.

Front

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

Back

The next two terms are 16 and 19.

Front

Create the explicit formula for the sequence: 2, 8, 14.

Back

a_n = 6n - 4.

Front

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

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

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

Back

Subtract the first term from the second term.