| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2020 |
| Session | October |
| Marks | 3 |
| Topic | Arithmetic Sequences and Series |
| Type | Find term or common difference |
| Difficulty | Easy -1.8 This is a straightforward arithmetic sequence question requiring only basic recall: identifying the sequence type (arithmetic) and applying the nth term formula u_n = u_1 + (n-1)d with given values. Both parts are routine calculations with no problem-solving or conceptual challenge. |
| Spec | 1.04e Sequences: nth term and recurrence relations1.04h Arithmetic sequences: nth term and sum formulae |
A sequence $u_1, u_2, u_3 \ldots$ is defined by $u_1 = 7$ and $u_{n+1} = u_n + 4$ for $n \geq 1$.
\begin{enumerate}[label=(\roman*)]
\item State what type of sequence this is. [1]
\item Find $u_{17}$. [2]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2020 Q2 [3]}}