Edexcel Paper 2 2019 June — Question 8

Exam BoardEdexcel
ModulePaper 2 (Paper 2)
Year2019
SessionJune
TopicSequences and series, recurrence and convergence

  1. (i) Find the value of
$$\sum _ { r = 4 } ^ { \infty } 20 \times \left( \frac { 1 } { 2 } \right) ^ { r }$$ (3)
(ii) Show that $$\sum _ { n = 1 } ^ { 48 } \log _ { 5 } \left( \frac { n + 2 } { n + 1 } \right) = 2$$