Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/11) | Q#1

Question


i.       
Find the first three terms in the expansion of  in ascending powers of .


ii.    
In the expansion of  , the coefficient of  is zero, find the value of .

Solution


i.
 

Expression for the Binomial expansion of  is:

In the given case:

Hence;


ii.
 

To find the value of  in the expansion of 

First we know from (i) that

Therefore:

Since coefficient of  is zero.

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