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. This difference is called the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term in an arithmetic sequence increases or decreases by. It can be found by subtracting any term from the term that follows it.

Front

Identify the common difference in the sequence: 4, 7, 10, 13,...

Back

The common difference is 3.

Front

Which of the following sequences is NOT an arithmetic sequence? -7, -13, -19, -25; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375

Back

3, 15, 75, 375 is NOT an arithmetic sequence.

Front

If the sequence 6, 11, 16, 21 continues, what will be the 9th term?

Back

The 9th term is 46.

Front

Write an explicit formula for the arithmetic sequence 1.5, 2.0, 2.5, 3.0,...

Back

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Front

What are the next two terms of the arithmetic sequence 13, 19, 25?

Back

The next two terms are 31 and 37.

Front

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

Back

Front

What is the first term of the sequence 5, 8, 11, 14,...?

Back

The first term is 5.