Standard +0.3 This is a standard telescoping series question requiring recognition of the pattern and simplification. Part (i) involves writing out terms to see cancellation (a routine Further Maths technique), and part (ii) is immediate once part (i) is complete. While it's Further Maths content, the execution is mechanical with no novel insight required, making it slightly easier than average overall.
\begin{enumerate}[label=(\roman*)]
\item Find \(\sum_{r=1}^{n}\left(\frac{1}{r}-\frac{1}{r+2}\right)\). [3]
\item What does the sum in part (i) tend to as \(n \to \infty\)? Justify your answer. [1]
\begin{enumerate}[label=(\roman*)]
\item Find $\sum_{r=1}^{n}\left(\frac{1}{r}-\frac{1}{r+2}\right)$. [3]
\item What does the sum in part (i) tend to as $n \to \infty$? Justify your answer. [1]
</end{enumerate}
\hfill \mbox{\textit{OCR Further Pure Core 2 Q3 [4]}}