Stage: 4 and 5 Challenge Level: 
Explore the continued fraction:
What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?
Dynamical systems. Inequality/inequalities. Number theory. Limits. Stage 5 - Reviewed 2012. Patterned numbers. Manipulating algebraic expressions/formulae. Continued fractions. Calculating with fractions. Mathematical reasoning & proof.
Published June 2001.
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