| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2019 |
| Marks | 4 |
| Topic | Arithmetic Sequences and Series |
| Type | Sequence defined by formula |
| Difficulty | Easy -1.2 This is a straightforward arithmetic sequence question requiring only direct substitution for part (a) and a standard sum formula application for part (b). The sequence is linear, making it simpler than typical series questions, and requires no problem-solving insight—just routine calculation with well-known formulas. |
| Spec | 1.04e Sequences: nth term and recurrence relations1.04g Sigma notation: for sums of series1.04h Arithmetic sequences: nth term and sum formulae |
A sequence $u_1, u_2, u_3, ...$ is defined by $u_n = 3n - 1$, for $n \geq 1$.
\begin{enumerate}[label=(\alph*)]
\item Find the values of $u_1, u_2, u_3$. [1]
\item Find $$\sum_{n=1}^{40} u_n$$ [3]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2019 Q3 [4]}}