# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | May-Jun | (P1-9709/01) | Q#3

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**Question**

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

** ii. **Hence find the value of the constant for which there is no term in in the expansion of .

**Solution**

i.

Expression for the Binomial expansion of is:

In the given case:

Hence;

ii.

To find the value of the constant for which there is no term in in the expansion of

From (i) we have;

Therefore;

Since there is no term in ;

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