Final answer:
To represent the same arithmetic sequence as the given function, the correct options are b) an = a1 + 4 and e) an = 5 + 4(n-1).
Step-by-step explanation:
To determine which of the given formulas represents the same arithmetic sequence as the function A(n)=5+(n-1)(4), we need to compare the general form of the sequence with each option.
The general form of an arithmetic sequence is an = a1 + (n-1)d, where a1 is the first term and d is the common difference.
In this case, a1 = 5 and d = 4, so the correct formula would be an = 5 + (n-1)(4).
Therefore, the correct options are b) an = a1 + 4 and e) an = 5 + 4(n-1).