Exploring Arithmetic Sequences

Exploring Arithmetic Sequences

Learning Objective

At the end of the lesson you will be able to recognize different types of arithmetic sequences, find the next 3 terms of arithmetic sequences, and fill in the missing terms of sequences.

What do you already know about arithmetic sequences?

Understanding Arithmetic Sequences

Arithmetic sequences are a sequence of numbers in which the difference between any two consecutive terms is always the same.

Identifying Arithmetic Sequences

Recognizing arithmetic sequences involves identifying the common difference between consecutive terms in a sequence.

Finding Next 3 Terms

To find the next 3 terms of an arithmetic sequence, add the common difference to the last term to find the next term, and continue this process for the subsequent terms.

Practice: Finding Next 3 Terms

Exercise: Given the arithmetic sequence 2, 5, 8, 11, ... find the next 3 terms.

Filling in Missing Terms

When filling in missing terms of an arithmetic sequence, identify the common difference and use it to find the missing terms.

Recognizing Fibonacci Sequence

The Fibonacci sequence is a special type of sequence where each term is the sum of the two preceding ones: 0, 1, 1, 2, 3, 5, 8, 13, ...

Practice: Recognizing Sequences

Exercise: Identify whether the following sequences are arithmetic or not: 3, 6, 10, 15, ... and 1, 1, 2, 3, 5, 8, ...

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.