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The function A(n)=5+(n-1) (4) represents an arithmetic sequence.

What Which of the following (pour
formulas represents the same sequence? Select all that apply
a) a=5
b) an = a1 +4
c) a=4

d) an = 4-5(n-1)

e) an = 5+4(n-1)

1 Answer

4 votes

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).

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