4MA0 Foundation January 2012 Paper 2 Q9
9
\[T = 3d + 4n\](a) Work out the value of \(T\) when \(d = 2\) and \(n = 5\) (2)
(b) Work out the value of \(T\) when \(d = -4\) and \(n = 3.5\) (2)
(c) Work out the value of \(d\) when \(T = 9\) and \(n = 6\) (3)
| Scheme | Marks |
|---|---|
| 3 × 2 + 4 × 5 or 6 + 20 | M1 |
| 26 | A1 |
| (2) |
Notes
M1: for correct substitution
A1: cao
| Scheme | Marks |
|---|---|
| −12 + 14 | M1 |
| 2 | A1 |
| (2) |
Notes
M1: for correct evaluation of one term ie −12 or 14
A1: cao
| Scheme | Marks |
|---|---|
| \(9 = 3d + 4 \times 6\) | M1 |
| \(3d = 9 - 24\) or \(3d = -15\) | M1 |
| −5 | A1 |
| (3) | |
| (Total 7 marks) |
Notes
M1: for correct substitution
M1: for correct rearrangement
A1: cao Award 3 marks for correct answer