Find the indicated term of each arithmetic sequence.
(A) $a_n=7+3(n-1)$
Find $a_{12}$.

• A. $40$
• B. $43$
• C. $37$
• D. $34$

Answer: (A)

Verified step by step guidance

1. Identify the general form of the nth term of an arithmetic sequence, which is given by the formula: \(a_n = a_1 + (n - 1)d\), where \(a_n\) is the nth term, \(a_1\) is the first term, \(d\) is the common difference, and \(n\) is the term number.
2. Determine the values of the first term \(a_1\) and the common difference \(d\) from the given sequence or problem statement. The common difference \(d\) is found by subtracting the first term from the second term: \(d = a_2 - a_1\).
3. Substitute the known values of \(a_1\) and \(d\) into the general term formula to express \(a_n\) explicitly in terms of \(n\).
4. Use the formula to find any specific term in the sequence by plugging in the desired value of \(n\).
5. If needed, verify your formula by checking it against known terms in the sequence to ensure accuracy.