Intermediate November 2016 Unit 2 Q10
10.
(a) Write down the \(n\)th term of the following sequence. [2]
3, 4, 5, 6, …………
(b) The \(n\)th term of a different sequence is given by \(n^2 + 7\).
(i) Write down the first three terms of this sequence. [2]
1st term = ………… 2nd term = ………… 3rd term = …………
(ii) Which term in this sequence is the first that has a value greater than 85? [2]
Answer = ………………… term.
| Scheme | Marks | Comments |
|---|---|---|
| n + 2 | B2 | B1 for sight of n ± k where k ≠ 0. Allow the n to be shown as 1n or n1 or n1 or 1×n. Penalise use of any other letter (apart from N) −1. |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 8 11 16 | B2 | B1 for two correct OR for 7, 8, 11. OR for 11, 16, 23. |
| (ii) 9(th term) | B2 | B1 for sight of n2 > 78 OR sight of 88 OR sight of 92 + 7 |