Foundation June 2024 Paper 2 Q4
4 Here are the first five terms of a number sequence.
106 99 92 85 78
(a)
(i) Write down the next term of the sequence. (1)
(ii) Explain how you found your answer to part (a)(i) (1)
The 9th term of the sequence is 50
(b) Work out the 12th term of the sequence. (1)
Umberto says 7 is a term in the sequence.
Umberto is wrong.
(c) Explain why. (1)
| Scheme | Marks |
|---|---|
| (i) Answer: 71 | B1 |
| (ii) Allow “decreasing by –7 “ Answer: –7 | B1 |
| (2) |
Notes
B1: oe eg ‘take 7’or ‘subtract 7’
each number is going down by 7
78 – 7
\(-7n + 113\)
–7 × 6 + 113
If words used, please accept incorrect spelling if meaning is clear
| Scheme | Marks |
|---|---|
| 29 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| Acceptable 1. The numbers are not in the 7 times table 2. It isn’t going down by the multiples of 7 3. 8 is in the sequence but not 7 4. It starts from 1 and you keep adding on 7 5. 15 – 7 = 8 6. The sequence is the 7 times table plus 1 7. Should be 8 8. 15 – 7 does not equal 7 Not acceptable 1. Because 7 won’t make the sequence correct 2. 7 isn’t in the sequence 3. Umberto is wrong 4. Because if you keep going down in 7s you will get to 9 (or 6 etc…ie they are incorrect) 5. It will pass 7 Answer: Correct reason | B1 |
| (1) | |
| (4 marks) |
Notes
B1: eg the sequence is \(-7n + 113\) or it goes ....15, 8, (1...) oe