4MA0 Foundation June 2017 Paper 1 Q3
3 Here are the first five terms of a number sequence.
3 10 17 24 31
(a) Write down the next two terms of the sequence. (2)
(b) Explain how you worked out your terms. (1)
(c) Work out the 18th term of the sequence. (2)
The 35th term of the sequence is 241
(d) Work out the 34th term of the sequence. (1)
| Scheme | Marks |
|---|---|
| 38, 45 | B2 |
| (2) |
Notes
B2: B1 for 38 shown as sixth term
B1 for 45 shown as seventh term ft from their "38" + 7
| Scheme | Marks |
|---|---|
| added 7 | B1 |
| (1) |
Notes
B1: for correct explanation
E.g. +7, 7 more, jumped forward by 7 oe
or \(7n - 4\)
| Scheme | Marks |
|---|---|
| \(3 + 17 \times 7\) or \(7 \times 18 - 4\) or \(7n - 4\) or 3, 10, 17, 24, 31, 38, 45, 52, 59, 66, 73, 80, 87, 94, 101, 108, 115, 122 or E.g. 45 + 11 × 7 | M1 |
| 122 | A1 |
| (2) |
Notes
M1: NB: If a list is given then must show a clear intention of adding 7 with at least 4 terms after 45 (condone 1 arithmetic error)
E.g. 45, 52, 59, 66, 73
E.g. 38, 45, 52, 59, 66, 73
A1: SC : B1 for answer of 115 or 129
| Scheme | Marks |
|---|---|
| 234 | B1 |
| (1) | |
| (6 marks) |