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What is the explicit formula for this sequence? -7,-3, 1, 5,… A. an = -7 + (n – 1)(-4) B. an = 9+ (n – 1)(-4)

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## Answers ( )

Answer:or

Step-by-step explanation:-7,-3,1,5,… is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is .

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form. So they are using (1,-7).

So let’s put this into our point-slope form:

Subtract 7 on both sides:

So your answer is