OCR MEI C2 2016 June — Question 3

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2016
SessionJune
TopicGeometric Sequences and Series

3 An arithmetic progression (AP) and a geometric progression (GP) have the same first and fourth terms as each other. The first term of both is 1.5 and the fourth term of both is 12 . Calculate the difference between the tenth terms of the AP and the GP. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{50ebbd77-39da-4a48-993a-bcf99ada9dcd-2_581_855_1644_587} \captionsetup{labelformat=empty} \caption{Fig. 4}
\end{figure} Fig. 4 shows triangle ABC , where \(\mathrm { AB } = 7.2 \mathrm {~cm} , \mathrm { AC } = 5.6 \mathrm {~cm}\) and angle \(\mathrm { BAC } = 68 ^ { \circ }\).
Calculate the size of angle ACB .