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 explicit formula for the nth term of an arithmetic sequence?

Back

Front

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

Back

Front

Given the sequence 5, 8, 11, 14, ..., what is the common difference?

Back

The common difference is 3, as each term increases by 3.

Front

Back

Front

If the 4th term of an arithmetic sequence is 12 and the common difference is 2, what is the first term?

Back

Front

What is the 10th term of the arithmetic sequence 3, 7, 11, ...?

Back

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Front

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

Back

Front

Given the sequence 32, 26, 20, 14, ..., what is the explicit formula?

Back