Edexcel C1 — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicProof by induction

  1. (a) Prove that the sum of the first \(n\) positive integers is given by
$$\frac { 1 } { 2 } n ( n + 1 ) .$$ (b) Hence, find the sum of
  1. the integers from 100 to 200 inclusive,
  2. the integers between 300 to 600 inclusive which are divisible by 3 .