Multiple choice

Find the nth term of a sequence with 1st term 2, second term 6, third term 10 and fourth term 14.

  1. 2n - 8

  2. 4n - 2

  3. 2n + 1

  4. 5n + 6

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

This is an arithmetic progression with first term a=2 and common difference d=4. The formula for the nth term is a + (n-1)d = 2 + (n-1)4 = 2 + 4n - 4 = 4n - 2.

AI explanation

The given sequence is 2, 6, 10, 14, which is an arithmetic progression where the first term is 2 and the common difference is 4. The formula for the nth term of an arithmetic progression is a + (n - 1)d. Substituting the values gives 2 + (n - 1)4, which simplifies to 4n - 2. The result is 4n - 2.