Edexcel C2 2007 January — Question 10

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2007
SessionJanuary
TopicGeometric Sequences and Series
  1. A geometric series is \(a + a r + a r ^ { 2 } + \ldots\)
    1. Prove that the sum of the first \(n\) terms of this series is given by
    $$S _ { n } = \frac { a \left( 1 - r ^ { n } \right) } { 1 - r }$$
  2. Find $$\sum _ { k = 1 } ^ { 10 } 100 \left( 2 ^ { k } \right)$$
  3. Find the sum to infinity of the geometric series $$\frac { 5 } { 6 } + \frac { 5 } { 18 } + \frac { 5 } { 54 } + \ldots$$
  4. State the condition for an infinite geometric series with common ratio \(r\) to be convergent.
This paper (10 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10