<PRE><B>Question 1143617</B>
&lt;br&gt;
In ANY problem like this, it is impossible to know the &quot;right&quot; answer.&lt;br&gt;
You could put any numbers next and it would be a valid sequence.&lt;br&gt;
Unless a problem like this says something about what kind of sequence it is, finding &quot;the&quot; solution is purely a matter of guessing.&lt;br&gt;
So any problem like this is not a valid question.&lt;br&gt;
If you can see a logical pattern in the given numbers, then it is possible to GUESS what the answer is.  But it is impossible to know if that answer is &quot;right&quot;.&lt;br&gt;
In this example, a probable solution can be found by rewriting some of the fractions as equivalent fractions:&lt;br&gt;
7/8, 6/9, 5/10, 4/11, 3/12, ...&lt;br&gt;
Then continuing the pattern gives us&lt;br&gt;
7/8, 6/9, 5/10, 4/11, 3/12, 2/13, 1/14&lt;br&gt;
Still, despite the clear pattern, we can&#39;t KNOW that this is the answer....</PRE>