Stage: 5 Challenge Level: 
Prove that $\sqrt{2}$, $\sqrt{3}$ and $\sqrt{5}$ cannot be terms of ANY arithmetic progression.
Summation of series. Arithmetic sequence. Proof by contradiction. Stage 5 - Reviewed 2012. Inequality/inequalities. epsilons. Mathematical reasoning & proof. alphas. Manipulating algebraic expressions/formulae. Rational and irrational numbers.
Published April 1999.
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