OCR C2 2009 January — Question 6

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2009
SessionJanuary
TopicGeometric Sequences and Series

6 A geometric progression has first term 20 and common ratio 0.9.
  1. Find the sum to infinity.
  2. Find the sum of the first 30 terms.
  3. Use logarithms to find the smallest value of \(p\) such that the \(p\) th term is less than 0.4 .