Which of the following is true for every positive integer ?

Answer and explanation

Correct answer: B. is even

  1. Step 1: is a product of two consecutive integers, one of which is even, so it is always even.
  2. Step 2: The other statements fail: gives ; gives ; gives ; gives .
Answer
is even.
Why not the others: A single counterexample is enough to dismiss each of the other four statements.

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