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The nth term of a sequence is (n + 1) (n + 2).
Explain why every term of the sequence is an even number.

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Sqdancefanidn

Answer:

  every term has an even factor

Step-by-step 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.

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