Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2014 | Oct-Nov | (P1-9709/12) | Q#3
i. Find the first 3 terms, in ascending powers of , in the expansion of .
The coefficient of in the expansion of is 95.
ii. Use the answer to part (i) to find the value of the positive constant .
Expression for the Binomial expansion of is:
In the given case:
To evaluate the expansion of we can substitute in the equation obtained in (i);
According to the given condition, the coefficient of in the expansion of is
Since we are required to find the value of the positive constant ;