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

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

Back

Front

What is the explicit formula for the arithmetic sequence 5, 10, 15, 20, ...?

Back

Front

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

Back

The common difference is 3.

Front

Is the sequence 78, 785, 7855, 78555, ... arithmetic?

Back

No, the sequence is not arithmetic because the differences between terms are not constant.

Front

What are the next two terms in the sequence: 4, 7, 10, 13, ...?

Back

The next two terms are 16 and 19.

Front

Is the sequence 17, 9, 1, -7, ... arithmetic?

Back

Yes, the sequence is arithmetic with a common difference of -8.

Front

What is the explicit rule for the sequence defined by the first term 1 and a common difference of 5?

Back

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between any two consecutive terms is the same.