SPS SPS SM Pure 2024 February — Question 8 4 marks

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2024
SessionFebruary
Marks4
TopicGeometric Sequences and Series
8.
  1. Evaluate $$\sum _ { n = 1 } ^ { \infty } \left( \sin 30 ^ { \circ } \right) ^ { n }$$
  2. Find the smallest positive exact value of \(\theta\), in radians, which satisfies the equation $$\sum _ { n = 0 } ^ { \infty } ( \cos \theta ) ^ { n } = 2 - \sqrt { 2 }$$ [4 marks]
This paper (14 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 4 Q9 Q10 Q11 Q12 Q13 Q14