The first four terms of a sequence are shown below: 8, 5, 2, −1 which of the following functions best defines this sequence?

Step-by-step explanation:

The given choices are

The given sequence is 8, 5, 2, -1,...

Where the first term is 8, the difference is -3, because the sequence is decreasing.

The arithmetic sequence is defined as

Where and . So for a general term, the sequence is defined as

However, notice that the given choices are using another notation, which is an easier notation actually.

refers to the first term of the sequence.

We know that the difference is -3, that is, the sequence is made by adding -3 to the first term.

is the n-term and is the follwoing term.

So, notice that to find the following term , we just need to add -3 to the first term .

Therefore, the function that best defines the sequence is

So, the right answer is the last choice.

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step-by-step explanation: