Activity Description Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.

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Sequencer

Place in mathematics curriculum:

This activity can be used to:

• introduce sequences
• allow students to create sequences by varying the starting number, multiplier, or add-on
• reinforce previously obtained knowledge regarding the behavior of sequences
• practice computational skills

This activity allows the user to enter a starting number, a multiplier, and an add-on to create sequences. This activity would work well in groups of two or three for about thirty minutes if you use the exploration questions and ten to fifteen minutes otherwise.

Preparations for this activity:

• give implicit directions on what students are to do. For example "Today we are going to experiment with the Sequencer activity..."
• explain what a starting number, multiplier, and add-on are and how they affect the sequence
• answer the question "How does the computer graph the sequence?"