Multiple choice

The nth terms in a series is represented by the term 2n(n + 1). So, all the terms of the series will always be divisible by

  1. 3

  2. 4

  3. 5

  4. None of these

  5. 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Term = 2n(n+1). For n=1, 2(1)(2) = 4. For n=2, 2(2)(3) = 12. For n=3, 2(3)(4) = 24. These are all multiples of 4.

AI explanation

The given formula for the nth term is 2n(n + 1), which means every term in the series is the product of 2, n, and n + 1. Because n and n + 1 are two consecutive integers, one of them must always be an even number. Thus, the term will always contain an additional factor of 2, making the product always divisible by 2 * 2 = 4.

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