Final answer:
The nth term of the sequence is expressed by the formula a_n = 7 + 3(n - 1). This represents the sequence starting at 7 and increasing by 3 for each subsequent term. Thus, the correct option is A.
Step-by-step explanation:
The question asks for the nth term of a sequence in terms of n. The correct expression that represents the nth term of this sequence is a_n = 7 + 3(n - 1).
This is because for the first term (when n=1), we would have a_1 = 7 + 3(1 - 1) = 7 + 3(0) = 7, which is the starting point for the sequence. The common difference is 3, as we are adding 3 each time to get the next term.
Therefore, the nth term is found by adding 3 to the first term n-1 times, which can be expressed as 7 + 3(n - 1).
The complete question is: content loaded
What is the nth term of this sequence in terms of n?
a) \(a_n = 7 + 3(n - 1)\)
b) \(a_n = 7 + 3n\)
c) \(a_n = 3n - 7\)
d) \(a_n = 10n - 3\) is: