| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Real-world AP: find n satisfying a condition |
| Difficulty | Moderate -0.3 This is a straightforward arithmetic sequence application with standard formula substitution. Part (i) requires finding the 5th term, part (ii) is a 'show that' verification using the sum formula, and part (iii) involves solving a linear inequality. All parts use routine techniques with no conceptual challenges, making it slightly easier than average. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae1.04i Geometric sequences: nth term and finite series sum |
(i) Find the number of sit-ups that Habib will do in the fifth week.\\
(ii) Show that he will do a total of 1512 sit-ups during the first eight weeks.
In the $n$th week of training, the number of sit-ups that Habib does is greater than 300 for the first time.\\
(iii) Find the value of $n$.\\
\hfill \mbox{\textit{OCR C2 Q5 [8]}}