**Question**

**Introduction**

This
question tests students on their knowledge of arithmetic and geometric
series. They should also be familiar
with Factor Theorem and methods of dealing with polynomials. Once parts (i) and (ii) are solved, part
(iii) is quite straightforward, provided that the student remembers how to deal
with surds.

**Review of Important Facts**

**Solution**

H04. Look for
pattern(s)

H05. Work
backwards

H10. Simplify
the problem

H11. Solve part
of the problem

H13* Use
Equation / write a Mathematical Sentence

**Suitable Levels**

*****GCE ‘A’ Level H2 Mathematics

*****IB HL Mathematics

* other syllabuses that series and Factor
Theorem

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