OCR MEI C2 — Question 3

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

3
  1. Find \(\sum _ { r = 1 } ^ { 5 } \frac { 21 } { r + 2 }\).
  2. A sequence is defined by $$\begin{aligned} u _ { 1 } & = a , \text { where } a \text { is an unknown constant, }
    u _ { n + 1 } & = u _ { n } + 5 . \end{aligned}$$ Find, in terms of \(a\), the tenth term and the sum of the first ten terms of this sequence.