Edexcel C12 2018 October — Question 4

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2018
SessionOctober
TopicArithmetic Sequences and Series
4. A sequence of numbers \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) satisfies $$u _ { n } = k n - 3 ^ { n }$$ where \(k\) is a constant. Given that \(u _ { 2 } = u _ { 4 }\)
  1. find the value of \(k\)
  2. evaluate \(\sum _ { r = 1 } ^ { 4 } u _ { r }\)
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