To say it explicitly—put the terms in order. Pupils learn about the two main sequences, arithmetic and geometric and discover the general explicit formulas for both types. Using the formulas, learners then calculate specific terms of the sequence.

Concepts

sequences, arithmetic sequences, the recursive formula, explicit formulas, geometric sequences, terms

Show More Show Less

Instructional Ideas

• Make the connection between linear and exponential functions to arithmetic and geometric sequences
• Have classmates identify the type of sequence for each problem before coming up with the formula

Classroom Considerations

• First lesson in a three-part unit on sequences and series

• This video is hosted on YouTube

Pros

• Answer key shows the steps to arrive at the solution
• Includes two extra worksheets for those needing additional practice

Cons

• None

Common Core

SL.9-10.2 SL.11-12.2 MP2 MP6 MP7 HSF-BF.A.1.a HSF-BF.A.2 HSF-LE.A.2