Is it always true?

The question

The sum of four consecutive numbers is a multiple of 4.

The sum of four consecutive numbers is a multiple of 4.

The sum of four consecutive numbers is a multiple of 4.
alwayssometimesnever
alwayssometimesnever
never
  1. One example that works does not prove "always" — but one that fails is enough to disprove it.
  2. So look for a counter-example: a case where the claim breaks.
  3. Try 14 and 15 and 16 and 17 — it fails, and so does every other case. So the answer is never.

How it works.

  1. 01

    One example that works does not prove "always" — but one that fails is enough to disprove it.

  2. 02

    So look for a counter-example: a case where the claim breaks.

  3. 03

    Try 14 and 15 and 16 and 17 — it fails, and so does every other case. So the answer is never.