![]() If you know the constant to add, you can use it to find other terms.įor example, each term in this sequence is 3 more than the term before it. An arithmetic sequence is one where the value of each term is the value of the previous term with a constant added. This is an example of an arithmetic sequence. If students do not bring up the connection to linear functions, ask "What do you remember about linear functions?" Record student responses for all to see and invite comparisons between linear functions and arithmetic sequences.Ī way to describe this sequence is: the starting term is 2 and the \(\text+3\). Tell students that arithmetic sequences are a type of linear function and that their knowledge of linear functions will help them describe arithmetic sequences during this unit. Invite these students to share their observations, such as how both are defined by a constant rate of change. Some students may notice the similarity between an arithmetic sequence and a linear function. Share that the constant in an arithmetic sequence is called the rate of change or common difference. If you subtract any term from the next term, you always get the same number.You always add the same number to get from one term to the next.Here are two ways to know a sequence is arithmetic: Tell students that sequence \(A\) is an example of an arithmetic sequence. In \(A\), you get the next term by adding 10 to the previous term. In \(A\), you always add 10 to get from term to term, but in \(C\), you always multiply by 2. ![]() ![]() ![]() Begin the discussion by asking students how \(A\) and \(C\) are alike and different. The purpose of this discussion is to compare different types of sequences and introduce students to the term arithmetic sequence. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |