Multiple choice

What is the nth term of the given sequence? 2, 6, 12, 20, ...

  1. 2n + n + 2

  2. n2 + n

  3. n2 - n - 2

  4. n2 + n - 2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sequence is 2, 6, 12, 20. These are n^2 + n for n=1, 2, 3, 4: 1+1=2, 4+2=6, 9+3=12, 16+4=20.

AI explanation

The nth term of the sequence is found by observing the relationship between the term's position and its value. For the first four terms, the calculations are 1^2 + 1 = 2, 2^2 + 2 = 6, 3^2 + 3 = 12, and 4^2 + 4 = 20. This establishes the formula as n^2 + n.

Keep practicing — related questions