Foundation November 2017 Paper 1 Q15
15.
(a)
Write down the next number in this sequence. [1]
1 8 27 64 ………………
(b)
The \(n\)th term of a sequence is \(8n - 16\).
(i) Write down the first 3 terms of this sequence. [2]
(ii)
The \(n\)th term of a different sequence is \(n^2\).
Sasha says,
‘The 4th term of the sequence with \(n\)th term \(8n - 16\) is the same as the 4th term of the sequence with \(n\)th term \(n^2\).’
Is Sasha correct?
Yes ☐ No ☐
Justify your answer. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 125 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| (i) −8, 0, 8 | B2 | B1 for any two terms correct in the correct position or SC1 for −16, −8, 0 |
| (ii) Yes, stated or implied AND \(4^2 = 16\) and 8(4) – 16 = 32 – 16 = 16 or 8 + 8 = 16 | B1 | Accept e.g. ‘yes they are both 16’. |
| (4) |