June 2025 Paper 2 Q1
1
| Sequence | \(n\)th term |
|---|---|
| A | \(\dfrac{6n}{7n + 25}\) |
| B | \(\dfrac{20}{n + 4}\) |
The 5th term in sequence A is also a term in sequence B.
Work out the position of the term in sequence B. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{6 \times 5}{7 \times 5 + 25}\) or \(\dfrac{30}{60}\) | M1 | oe eg \(\dfrac{1}{2}\) or 0.5 may be seen in an equation or a list eg \(\dfrac{20}{n + 4} = \dfrac{1}{2}\) |
| \(20 = \text{their } \dfrac{30}{60} \times (n + 4)\) | M1dep | oe linear equation eg \(n + 4 = 40\) |
| 36 | A1 | accept \(n = 36\) |
Additional guidance
| Allow \(n\) to be \(N\) or \(x\) etc | |
| For 36 accept eg 36th | |
| Answer \(n\)th term \(= 36\) | M2A0 |
| Answer \(36n\) | M2A0 |