4MA0 Foundation June 2014 Paper 1 Q4
4 Here are the first five terms of a number sequence.
10 14 18 22 26
(a) Write down the next two terms of the sequence. (2)
(b) Explain how you worked out your answer. (1)
(c) Find the 12th term of the sequence. (1)
(d) Explain why 100 cannot be a term of the sequence. (1)
| Scheme | Marks |
|---|---|
| 30, 34 | B1 B1 |
| (2) |
| Scheme | Marks |
|---|---|
| Added 4 | B1 |
| (1) |
Notes
B1: accept +4, 4 more, jumped forward by 4, difference = 4, \(4n + 6\) oe
| Scheme | Marks |
|---|---|
| 54 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 98 and/or 102 are terms in sequence | B1 |
| (1) | |
| (5 marks) |
Notes
B1: “Series would have to start at 4” or “100 is a multiple of 4” or “100 divides by 4” or “100 is in the 4 times table”, or “\(4n + 6 = 100\) leading to 23.5 (which is not an integer value)” etc.