# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#9

Question a.   Calculate the sum of all the even numbers from 2 to 100 inclusive, 2 + 4 + 6 + …… + 100 b.   In the arithmetic series k + 2k + 3k + …… + 100 k is a positive integer and k is a factor of 100.                                         i.    Find, in terms of k, an expression […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | June | Q#5

Question A sequence  is defined by   , Where  is a positive integer. a)   Write down an expression for  in terms of k. b)  Show that c)                         i.       Find  in terms of k, I its simplest form.                   ii.       Show that  is divisible by 6. Solution a)     We are given that sequence  is defined by We are required to […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#6

Question An arithmetic sequence has first term a and common difference d. The sum of the first 10 terms of the sequence is 162. a.  Show that 10a + 45d =162 Given also that the sixth term of the sequence is 17, b.  write down a second equation in a and d, c.  find the value of a and the value […]

# Past Papers’ Solutions | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2011 | January | Q#4

Question A sequence  is defined by Where  is a constant. a)   Find an expression for  in terms of c. Given that , b)  Find the value of c. Solution a)     We are given that sequence  is defined by We are required to find . We can utilize the given expression for general terms beyond first term as; b)  […]