20 points!! What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
2 answers:
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The numbers inside the brackets determine which point lies on the line.
The general formula is
y - h = m(x - k)
The point that lies on the line however is (h,k) both turn to the opposite sign.
So in your case the point is (6,2). I have made a graph to show you that this is true. No other point is possible.
The result follows directly from properties of modular arithmetic:
That is,
means we can write for some integer
. Then
and taken mod 12, the first term goes away, so
etc