The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
true or false? ?

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

where is the first term and is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is .

So the answer is true.

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You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

Let n=2:

Let n=3:

Let n=4:

Let n=5:

Let n=6:

We have confirmed that we get all 6 of the mentioned points using the equation they gave.