1MA0 Higher June 2017 Paper 1 Q10
10 Here are the first five terms of an arithmetic sequence.
2 5 8 11 14
(a) Write down an expression, in terms of \(n\), for the \(n\)th term of this sequence. (2)
(b) Is 299 a term of this sequence?
You must give a reason for your answer. (2)
You must give a reason for your answer. (2)
(c) Write down an expression, in terms of \(n\), for the \((n + 1)\)th term of this sequence. (1)
| Answer | Mark | Notes |
|---|---|---|
| \(3n - 1\) | 2 | B2 for \(3n - 1\) oe (B1 for \(3n + k\), \(k\) an integer \(\neq -1\) or absent) |
| Answer | Mark | Notes |
|---|---|---|
| Yes | 2 | M1 for \(3n - 1 = 299\) ft if B1 earned in (a) A1 for eg Yes and \(n = 100\) oe |
| Answer | Mark | Notes |
|---|---|---|
| \(3(n + 1) - 1\) | 1 | B1 oe eg \(3n + 2\) or ft (a) providing at least B1 earned |