QLD (Nspire): The Fibonacci Sequence

Objectives

• Investigate limits in sequences
• Generate sequences beyond Arithmetic and Geometric
• Develop techniques for exploring sequences using technology.

Vocabulary

• Sequence
• Sum
• Ratio

About the Lesson

What is the ratio between consecutive terms in the Fibonacci sequence? What special properties does this value have? Try squaring this number to see what you get. Try cubing the number. What about adding up consecutive squared terms? This activity puts together a feast of relationships not often explored in the Fibonacci sequence. There are lots more you could do, this activity explores just a collection from this amazing sequence.