Definition of Arithmetic Sequences and Series

May 28th, 2015
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A sequence is an ordered list of numbers and the sum of the terms of a sequence is a series. In an arithmetic sequence, each term is equal to the previous term, plus (or minus) a constant. The constant is called the common difference (d). The

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Circle EquationsA circle is easy to make:Draw a curve that is "radius" awayfrom a central point.And so:All points are the same distancefrom the center.In factthe definitionof a circle isCircle:Theset of all pointson a plane that are a fixed distance from a center.Let us put that center at(a,b).So the circle isall the points (x,y)that are"r"away from the center(a,b).Now we can work outexactlywhere all those points are!We simply make a right-angled triangle (as shown), and then usePythagoras(a2+ b2= c2):(x-a)2+ (y-b)2= r2And that is the"Standard Form"forthe equation of a circle!You can see all the important information at a glance: the center(a,b)and the radiusr.General FormBut you may see a circle equation andnot know it!Because it may not be in the neat "Standard Form" above.As an example, let us put so

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