Multiple choice

Find the nth term of the given sequence. 5, 8, 11, 14, ...

  1. 5n + 2

  2. 2n + 3

  3. 3n + 2

  4. n + 2

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

The sequence is an arithmetic progression with first term a=5 and common difference d=3. The nth term is a + (n-1)d = 5 + (n-1)3 = 3n + 2.

AI explanation

Checking the pattern by substituting n = 1 into the formula 3n + 2 gives the first term as 3(1) + 2 = 5. Substituting n = 2 gives the second term as 3(2) + 2 = 8, which matches the sequence perfectly. This confirms the nth term is correctly represented by the expression 3n + 2.