OCR MEI C2 — Question 5

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

5 The third term of an arithmetic progression is 24 . The tenth term is 3.
Find the first term and the common difference.
Find also the sum of the 21 st to 50 th terms inclusive. Simplify
  1. Find the 51st term of the sequence given by $$\begin{aligned} u _ { 1 } & = 5
    u _ { n + 1 } & = u _ { n } + 4 \end{aligned}$$
  2. Find the sum to infinity of the geometric progression which begins $$5 \quad 2 \quad 0.8 \quad \ldots .$$