| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 13 |
| Paper | Download PDF ↗ |
| Topic | Arithmetic Sequences and Series |
| Type | Real-world AP: find term or total |
| Difficulty | Easy -1.2 This is a straightforward arithmetic sequence question from C1 requiring only direct application of standard formulas. Parts (a)-(c) involve simple substitution into nth term and sum formulas with no problem-solving required. Part (d) requires solving a quadratic equation from the sum formula, which is routine for this topic. The context is clear, calculations are mechanical, and it's easier than a typical A-level question. |
| Spec | 1.04h Arithmetic sequences: nth term and sum formulae |
On Alice's 11th birthday she started to receive an annual allowance. The first annual allowance was £500 and on each following birthday the allowance was increased by £200.
\begin{enumerate}[label=(\alph*)]
\item Show that, immediately after her 12th birthday, the total of the allowances that Alice had received was £1200. [1]
\item Find the amount of Alice's annual allowance on her 18th birthday. [2]
\item Find the total of the allowances that Alice had received up to and including her 18th birthday. [3]
\end{enumerate}
When the total of the allowances that Alice had received reached £32 000 the allowance stopped.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{3}
\item Find how old Alice was when she received her last allowance. [7]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q7 [13]}}