pptx, 697.54 KB
pptx, 697.54 KB
pdf, 57.81 KB
pdf, 57.81 KB
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xlsx, 15.85 KB
Earliest recommended Year group: Year 10.

Pupils are given the nth term of a sequence and are asked to find specific (non consecutive) terms in the sequence. It is the Fibonacci sequence. The task involves surds and indices. Then they are asked to prove that the ratio of consecutive terms tends to the golden ratio.

This is from the “Something in Common” collection of resources by John Burke. They allow consolidation of key skills, prevent students from copying each other (as all the questions are different), make marking and assessing easy for the teacher (as all the answers are the same!), and provide a lovely extra challenge for students as they try to figure out exactly what is going on! To access the full collection, and read John’s background notes, please visit: http://www.mrbartonmaths.com/common.htm
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