OCR MEI C2 2011 June — Question 2

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicArithmetic Sequences and Series

2 A sequence is defined by $$\begin{aligned} u _ { 1 } & = 10
u _ { r + 1 } & = \frac { 5 } { u _ { r } ^ { 2 } } \end{aligned}$$ Calculate the values of \(u _ { 2 } , u _ { 3 }\) and \(u _ { 4 }\).
What happens to the terms of the sequence as \(r\) tends to infinity?