Multiple choice

What is the nth term of the given sequence?

– 2, 0, 2 …….

  1. – 2n

  2. 4n – 6

  3. 2n – 4

  4. 3n – 8

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

nth term = dn + (a – d) = 2n + (– 2 – 2) = 2n – 4

AI explanation

The sequence –2, 0, 2 has a common difference of 2, so it is an arithmetic progression with first term a = –2 and d = 2. The nth term formula is a + (n–1)d = –2 + 2(n–1) = 2n – 4. Plugging n = 1 gives –2, n = 2 gives 0, confirming the formula.