# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | January | Q#5

Question The rth term of an arithmetic series is (2r – 5). a.   Write down the first three terms of this series. b.   State the value of the common difference. c.   Show that Solution a.     We are given that rth term of arithmetic series is represented by; Therefore, to find any term k we substitute […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#9

Question An arithmetic series has first term  and common difference . a)   Prove that the sum of the first n terms of the series is Sean repays a loan over a period of  months. His monthly repayments form an arithmetic sequence. He repays £149 in the first month, £147 in the second month, £145 in the third month, […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2005 | Oct-Nov | (P1-9709/01) | Q#6

Question A small trading company made a profit of \$250 000 in the year 2000. The company considered two different plans, plan A and plan B, for increasing its profits. Under plan A, the annual profit would increase each year by 5% of its value in the preceding year.  Find, for plan A,     i.       the profit for the year 2008    […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2005 | May-Jun | (P1-9709/01) | Q#6

Question A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An  arithmetic progression has 21 terms and common difference 1.5. Given that the sum of all the terms in the geometric progression is equal to the sum of all the terms in the arithmetic progression,  find the first term and the […]