[AM_20150302BTRCUK] Binomial with known Ratio of Coefficients but Unknown Power

Question

Introduction

     This Additional Mathematics question is challenging because the index  n  of the binomial power is unknown but you only know the ratio of a pair of coefficients.  Usually the  n  is given and you just plug in the formula and apply the binomial expansion formula.

Reminder

Solution

   

Heuristics Used

H05. Work backwards

H13* Use Equation / write a Mathematical Sentence

Suitable Levels

* GCE ‘O’ Level Additional Mathematics

* GCE ‘A’ Levels H2 Mathematics (revision)

* IB Mathematics (revision)

* other syllabuses that involve Binomial Theorem for higher powers