Hits: 225

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#7

Hits: 225   Question Sue is training for a marathon. Her training includes a run every Saturday starting with a run of 5 km  on the first Saturday. Each Saturday she increases the length of her run from the previous  Saturday by 2 km. a.   Show that on the 4th Saturday of training she runs 11 km. b.   […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | June | Q#5

Hits: 52   Question A sequence x1, x2, x3, …. ……. is given by: x1=1, xn+1=axn – 3, n≥1, where a is a constant. a.   Find an expression for x2 in terms of a. b.   Show that x3=a2 – 3a – 3. Given that x3=7, c.   find the possible values of a. Solution a.   We are given […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | January | Q#11

Hits: 231   Question The first term of an arithmetic sequence is 30 and the common difference is –1.5. a.   Find the value of the 25th term. The rth term of the sequence is 0. b.   Find the value of r. The sum of the first n terms of the sequence is Sn. c.   Find the largest positive […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2008 | January | Q#7

Hits: 18   Question A sequence is given by: x1=1, xn+1=xn(p+ xn), where p is a constant (p≠0) . a.   Find x2 in terms of p. b.   Show that x3=1+3p+2p2. Given that x3=1, c.   find the value of p, d.    (d) write down the value of x2008 . Solution a.   We are given the sequence […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | Oct-Nov | (P1-9709/01) | Q#3

Hits: 950 Question The first term of an arithmetic progression is 6 and the fifth term is 12. The progression has n terms  and the sum of all the terms is 90. Find the value of n. Solution From the given information, we can compile following data for Arithmetic Progression (A.P); Expression for the sum of  number of terms […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2008 | May-Jun | (P1-9709/01) | Q#7

Hits: 1072 Question The first term of a geometric progression is 81 and the fourth term is 24. Find     i.       the common ratio of the progression,    ii.       the sum to infinity of the progression. The second and third terms of this geometric progression are the first and fourth terms respectively  of an arithmetic progression.   iii.       Find the sum of the first ten […]