Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2005 | May-Jun | (P1-9709/01) | Q#4

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Question


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


ii.       
Find the value of  for which there no term in  in the expansion of 

Solution


i.
 

Expression for the Binomial expansion of  is:

First rewrite the given expression in standard form.

In the given case:

Hence;


ii.
 

To find the value of  in the expansion of 

First we know from (i) that 

Therefore:

Since there is no term with :

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