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

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

Back

The common difference is 5.

Front

What is the explicit formula for an arithmetic sequence?

Back

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

Front

Given the sequence: 3, 6, 9, 12, ..., what is the 10th term?

Back

The 10th term is 30.

Front

How do you find the next term in the sequence: 8, 11, 14, ...?

Back

Add the common difference (3) to the last term (14) to get the next term (17).

Front

What is the common difference in the sequence: 12, 9, 6, 3, ...?

Back

The common difference is -3.

Front

Write the explicit equation for the sequence: 2, 5, 8, 11, ...

Back

a_n = 3n - 1.

Front

Find the 5th term of the sequence: 7, 14, 21, ...

Back

The 5th term is 35.

Front

What are the next two terms in the sequence: 1, 4, 7, 10, ...?

Back

The next two terms are 13 and 16.