Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you
notice when successive terms are taken? What happens to the terms
if the fraction goes on indefinitely?
Age 16 to 18 Challenge Level:
The second part of this question introduces an expression involving
an infinite string of nested square roots but, as forbidding as it
may seem, a little ingenuity is all that is needed to evaluate it.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.