Question

The nth term of a sequence is (n + 1) (n + 2).

Explain why every term of the sequence is an even number.

Answer 1

every term has an even factor

Explanation:

One of the two factors of the n-th term will be even.

• for n odd, n+1 is even
• for n even, n+2 is even

If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.