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: 2, 5, 8, 11, ...

Back

The common difference is 3.

Front

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

Back

Front

What is the explicit formula for the arithmetic sequence: 4, 7, 10, 13, ...?

Back

Front

Find the 10th term of the arithmetic sequence: 1, 4, 7, 10, ...

Back

The 10th term is 28.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 6th term?

Back

The 6th term is 15.

Front

Which of the following sequences is an arithmetic sequence? 1, 3, 5, 7 or 2, 4, 8, 16?

Back

1, 3, 5, 7 is an arithmetic sequence.

Front

What is the formula to find the sum of the first n terms of an arithmetic sequence?

Back

Front

Calculate the sum of the first 5 terms of the arithmetic sequence: 2, 5, 8, 11, ...

Back

The sum is 40.