Question 976050
<pre>
{{{3/64}}}, 

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

{{{3/32}}},

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

{{{3/16}}}, 

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

{{{3/8}}},

Notice that if you leave the numerator as 3 and take half of the denominator,
you get

{{{3/4}}},

So you might suspect that to get the next term you might also leave the
numerator as 3 and take half of the denominator.  If you do that you get:

{{{3/2}}},

And if you got that, you might also suspect that to get the next term
you would also leave the numerator as 3 and take half of the denominator.
If you do that you get: 

{{{3/1}}} which reduces to {{{3}}}

Leaving the numerator as 3 and taking half of the denominator.
If you do that you get:

{{{3/0.5}}}  Divide that on your calculator and you get {{{6}}}

Edwin</pre>