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
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Question
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 .
Solution
i.
Expression for the Binomial expansion of is:
In the given case:
Hence;
ii.
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
95. Therefore;
Since we are required to find the value of the positive constant ;
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