Stage: 5 Challenge Level: 
Possible support
Try the problems Natural Sum, More Sequences and Series, and OK Now Prove It
Read the article Proof by Induction.
Possible extension
Telescoping Series
epsilons. Summation of series. Manipulating algebraic expressions/formulae. Mathematical reasoning & proof. Factorials. Inequality/inequalities. Short problems. Stage 5 - Reviewed 2012. alphas. Powers & roots.
Published September 2002.
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email: nrich@damtp.cam.ac.uk