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Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Oct-Nov | (P1-9709/13) | Q#3

Hits: 124 Question      i.       Find the term independent of x in the expansion of .    ii.       Find the value of a for which there is no term independent of x in the expansion of Solution i.   Expression for the general term in the Binomial expansion of  is: For the given case: Hence; Since we are looking for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Oct-Nov | (P1-9709/12) | Q#1

Hits: 73   Question Find the term independent of x in the expansion of . Solution Expression for the general term in the Binomial expansion of  is: For the given case: Hence; Since we are looking for the coefficient of the term independent of  i.e. , so we can  equate Hence, substituting ; Becomes; Hence coefficient of the term independent […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/13) | Q#1

Hits: 55   Question The coefficients of  and  in the expansion of  are equal. Find the value of the non-zero  constant a. Solution We need to equate the coefficients of  and  in the expansion of given expression.  We are given expression as; Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/12) | Q#1

Hits: 88   Question      i.       Find the coefficient of x in the expansion of .    ii.       Hence find the coefficient of x in the expansion of . Solution      i.   We are required to find the coefficient  of  in the expansion of given expression. We are given expression as; Expression for the general term in the Binomial expansion of […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | Feb-Mar | (P1-9709/12) | Q#2

Hits: 73   Question In the expansion of , the coefficient of x is 5. Find the value of the constant a. Solution We are given expression as; Expression for the general term in the Binomial expansion of  is: In the given case: Hence; Since we are looking for the terms with  i.e. we can  equate; Now we can find the term […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2017 | May-Jun | (P1-9709/11) | Q#1

Hits: 106   Question The coefficients of  and  in the expansion of  are  and  respectively. Find the value  of . . Solution We can find the coefficients of  and  in the expansion of given expression.  Let us first find the coefficient of  in the expansion of . We are given expression as;  Expression for the general term in the Binomial expansion of  is: […]