A blog about Mathematics and Mathematics Education in Singapore, as well as Mathematics Education in general. Written for students, parents, educators and other stakeholders in Singapore, and around the world.
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Wednesday, May 13, 2015
[H2_20150512GSS] A Square Spiral in Geometric Progression
This is a
type of question that has become quite common in H2 Mathematics at Junior
College level. I was not told where this
question came from, but I seem to get a bout of déjà vu. It is quite a
common practice for the Singapore
junior colleges to mimic questions from the GCE ‘A’ Levels and/or one another.
The keys to
solving this question are:-
if a coordinate frame is needed but not given it the question, we invent
see whether we need to care about the direction or not, and then apply
geometric series formula.
(3) When applying the geometric
series formula, always identify correctly the first term,
the common ratio, and
the number of terms to be summed.