# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2007 | Oct-Nov | (P1-9709/01) | Q#4

Question The 1st term of an arithmetic progression is  and the common difference is , where .     i.       Write down expressions, in terms of  and , for the 5th term and the 15th term.  The 1st term, the 5th term and the 15th term of the arithmetic progression are the first three terms  of a geometric progression.    ii.    […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2007 | May-Jun | (P1-9709/01) | Q#7

Question The second term of a geometric progression is 3 and the sum to infinity is 12.     i.       Find the first term of the progression. An arithmetic progression has the same first and second terms as the geometric progression.    ii.       Find the sum of the first 20 terms of the arithmetic progression. Solution i.   From the given information, we can […]