Stage: 4 Challenge Level: 
Possible support
Try the problems
More Sequences and Series,
and OK Now Prove It
Possible extension
Picture Story,
Telescoping Series
and Seriesly
Read the article Proof by Induction.
Patterned numbers. Mathematical reasoning & proof. Inequality/inequalities. Dynamical systems. Visualising. Arithmetic sequence. Stage 5 - Reviewed 2012. Manipulating algebraic expressions/formulae. Number theory. Generalising.
Published October 2000.
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email: nrich@damtp.cam.ac.uk