SPS SPS FM 2022 October — Question 8

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionOctober
TopicGeometric Sequences and Series

8. A geometric series has first term \(a\) and common ratio \(r\) where \(r > 1\). The sum of the first \(n\) terms of the series is denoted by \(S _ { n }\). Given that \(S _ { 4 } = 10 \times S _ { 2 }\),
  1. find the value of \(r\). Given also that \(S _ { 3 } = 26\),
  2. find the value of \(a\),
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