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 | Edexcel | AS & A level | Mathematics | Core Mathematics 1 (C1-6663/01) | Year 2005 | June | Q#6

  Question Find the set of values of x for which a)   b)  c)   Both  and . Solution a)     We are required to solve the inequality; We can rearrange the inequality as; b)   We are required to solve the inequality; We solve the following equation to find critical values of ; Now we have two options; Hence the critical […]

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

  Question Solve the simultaneous equations Solution We are given simultaneous equations; Rearranging the first equation we get expression for ; Substituting this for  in the second equation; We have the algebraic formula; Therefore; For a quadratic equation , the expression for solution is; For the above equation; Now we have two options. By substituting one-by-one these values of  in above derived […]