CAIE P1 2021 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionNovember
TopicArithmetic Sequences and Series

4 The first term of an arithmetic progression is 84 and the common difference is - 3 .
  1. Find the smallest value of \(n\) for which the \(n\)th term is negative.
    It is given that the sum of the first \(2 k\) terms of this progression is equal to the sum of the first \(k\) terms.
  2. Find the value of \(k\).