**Question**

**Introduction**

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 Singapore
junior colleges to mimic questions from the GCE ‘A’ Levels and/or one another.

*déjà vu*. It is quite a common practice for the**Solution**

**Summary**

The keys to
solving this question are:-

(1)
if a coordinate frame is needed but not given it the question, we invent
our own.

(2)
see whether we need to care about the direction or not, and then apply
the

geometric series formula.

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.

the common ratio, and the number of terms to be summed.

H02. Use a
diagram / model

H04. Look for
pattern(s)

H09. Restate the
problem in another way

H10. Simplify
the problem

H11. Solve part
of the problem

H13* Use
Equation / write a Mathematical Sentence

**Suitable Levels**

*****GCE ‘A’ Level H2 Mathematics

* other syllabuses that involve geometric
series

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