<PRE><B>Question 1046660</B>
&lt;pre&gt;&lt;b&gt;
They are all 1 more than a multiple of 4.  
In roster notation they are:

{1,5,9,13,17,...}

 &lt;u&gt; 0&lt;/u&gt;     &lt;u&gt; 1&lt;/u&gt;     &lt;u&gt; 2&lt;/u&gt;      &lt;u&gt;  3&lt;/u&gt;      &lt;u&gt;  4&lt;/u&gt; 
4)1    4)5    4)9     4)13     4)17
  &lt;u&gt;0&lt;/u&gt;      &lt;u&gt;4&lt;/u&gt;      &lt;u&gt;8&lt;/u&gt;       &lt;u&gt;12&lt;/u&gt;       &lt;u&gt;16&lt;/u&gt;
  1      1      1        1        1

So you see, when we divide by 4, the remainder is always 1.

So we take 4k, where k is a whole number, and then add 1
to it.

So the set is the numbers n of the form 4k+1, where k
is any whole number:

The set-builder notation is

{n | n=4k+1, k is a whole number}

The whole numbers are 0,1,2,3,4,...

Edwin&lt;/pre&gt;&lt;/b&gt;</PRE>