3-6 Practice: Arithmetic Sequences as Linear Functions

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

How do you determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, check if the difference between consecutive terms is the same.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount added to each term to get the next term in the sequence.

Front

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

Back

The common difference is 3.

Front

What are the next three terms of the arithmetic sequence 10, 15, 20?

Back

The next three terms are 25, 30, and 35.

Front

Is the sequence 2, 4, 6, 8 an arithmetic sequence?

Back

Yes, it is an arithmetic sequence with a common difference of 2.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 5th term?

Back

The 5th term is 19.

Front

What are the next three terms of the arithmetic sequence 100, 90, 80?

Back

The next three terms are 70, 60, and 50.

Front

Is the sequence 1, 2, 4, 8 an arithmetic sequence?

Back

No, it is not an arithmetic sequence because the differences are not constant.