Edexcel AS Paper 1 2022 June — Question 14

Exam BoardEdexcel
ModuleAS Paper 1 (AS Paper 1)
Year2022
SessionJune
TopicProof by induction

  1. (i) A student states
    "if \(x ^ { 2 }\) is greater than 9 then \(x\) must be greater than 3 "
Determine whether or not this statement is true, giving a reason for your answer.
(ii) Prove that for all positive integers \(n\), $$n ^ { 3 } + 3 n ^ { 2 } + 2 n$$ is divisible by 6