Hits: 34

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | June | Q#4

Hits: 34   Question A sequence a1, a2, a3, . . . is defined by a1 = 3 an+1 = 3an– 5, n1. a.   Find the value of a2 and the value of a3. b.   Calculate the value of Solution a.   We are given that; an+1 = 3an – 5 a1 = 3 Therefore, we […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#7

Hits: 143   Question On Alice’s 11th birthday she started to receive an annual allowance. The first annual allowance was  £500 and on each following birthday the allowance was increased by £200. a.   Show that, immediately after her 12th birthday, the total of the allowances that Alice had received  was £1200. b.   Find the amount of Alice’s annual allowance […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2006 | January | Q#2

Hits: 18   Question The sequence of positive numbers , , , … is given by: , a.   Find ,  and . b.   Write down the value of . Solution a.   We are given that (n+1)th term of arithmetic series is represented by; Therefore, to find nth term we substitute (n-1) for n in the given […]

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

Hits: 27   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 […]

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

Hits: 162   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 […]