The second term of an arithmetic sequence is – 39 The rule A sub n is equal to A sub n minus 1 plus 12 can be used to find the next term of the sequence. What is the explicit rule for the arithmetic sequence?

The common difference is 12, so the term before the second term is 12 less: A₁ = −39 − 12 = −51. An arithmetic sequence has explicit rule Aₙ = A₁ + d(n − 1), giving Aₙ = −51 + 12(n − 1). This is choice D, “A sub n is equal to negative 51 plus 12 times (n minus 1).”

AI-written and checked against the verified answer.