SPS SPS SM Pure 2022 November — Question 6

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2022
SessionNovember
TopicArithmetic Sequences and Series

6. A sequence of terms \(u _ { 1 } , u _ { 2 } , u _ { 3 } , \ldots\) is defined by \(\quad u _ { n } = 2 n + 5\), for \(n \geq 1\).
  1. Write down the values of \(u _ { 1 } , u _ { 2 }\) and \(u _ { 3 }\).
  2. State what type of sequence it is.
  3. Given that \(\sum _ { n = 1 } ^ { N } u _ { n } = 2200\), find the value of \(N\).