Multiple choice

In the sequence ,the first term is $4$ and each term after the first is $7$ more than the previous term. What is the $12^{th}$ term of the sequence?

  1. $77$
  2. $81$
  3. $84$
  4. $86$
  5. $92$
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B Correct answer
Explanation

This is an arithmetic progression with a = 4 and d = 7. The 12th term is a + (n-1)d = 4 + (11 * 7) = 4 + 77 = 81.

AI explanation

This sequence is arithmetic with a first term a = 4 and a common difference d = 7. The nth term of an arithmetic sequence is given by the formula a_n = a + (n-1)d. Substituting n = 12, we get a_12 = 4 + (12-1)*7 = 4 + 77 = 81.

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