# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/12) | Q#2

Question i.   Find, in terms of the non-zero constant ,  the first four terms in the expansion of  in ascending powers of .    ii.     Given that the coefficients of  and  in this expansion are equal, find the value of . Solution i.   Expression for the Binomial expansion of  is: In the given case: Hence; ii.   Since the coefficients […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2009 | Oct-Nov | (P1-9709/11) | Q#3

Question i.     Find the first three terms in the expansion of   in ascending powers of . ii.       Given that the coefficient of in the expansion of  is  , find the value           of  the constant . Solution i.   First rewrite the given expression in standard form. Expression for the Binomial expansion of  is: In the given […]

# 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

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 […]