Foundation June 2022 Paper 2 Q3
3 Here are the first five terms of a number sequence.
7 13 19 25 31
(a)
(i) Write down the next term of the sequence. (1)
(ii) Explain how you found your answer to part (a)(i) (1)
The 30th term of the sequence is 181
(b) Work out the 28th term of the sequence. (1)
Brian says that 96 is a number in the sequence.
Brian is wrong.
(c) Explain why. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 37 | B1 |
| (ii) Answer: +6 | B1 |
| (2) |
Notes
B1: oe eg ‘added 6’ or ‘plus 6’ or
\(6n + 1\) allow 31 + 6 = 37
increase by 6 / goes up by 6
| Scheme | Marks |
|---|---|
| 169 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| All the numbers in the sequence are odd numbers | B1 |
| (1) | |
| (4 marks) |
Notes
B1: 96 is not odd / 96 is even
96 is a multiple of 6 (and terms are not multiples of 6) or
No numbers in the sequence end in 6 / all end in 1, 3, 5, 7, 9
or the sequence is \(6n + 1\) or
it goes ....91, 97, ... oe or
it should be 97
They need to add 1