| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2023 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Find term or common difference |
| Difficulty | Moderate -0.8 This is a straightforward arithmetic series problem requiring students to set up and solve two simultaneous equations using standard formulas (nth term and sum). It's slightly easier than average because it's a routine textbook exercise with no conceptual challenges—just direct application of well-practiced formulas. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae |
| Answer | Marks |
|---|---|
| 1 | 0 |
| 1 | 1 |
| 1 | 2 |
| 1 | 3 |
| 1 | 4 |
Question 1:
1 | 0
1 | 1
1 | 2
1 | 3
1 | 4
The 12th term of an arithmetic series is 41 and the sum of the first 16 terms is 488.
Find the first term and the common difference of the series. [5]
\hfill \mbox{\textit{WJEC Unit 3 2023 Q1 [5]}}