November 2021 Paper 1 Q5
5 The \(n\)th term of a sequence is \(\quad \dfrac{2n + 47}{n + 1}\)
(a) A term of the sequence has a value of 5
Work out the value of \(n\). [2 marks]
(b) Write down the limiting value of the sequence as \(n \to \infty\) [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(2n + 47 = 5(n + 1)\) or \(2n + 47 = 5n + 5\) | M1 | oe equation with fraction eliminated |
| 14 | A1 |
Additional guidance
| \(n = 14\) from trial and error | M1A1 |
| Answer | Mark | Comments |
|---|---|---|
| 2 | B1 |
Additional guidance
Do not allow \(n \to 2\)