Question 1065340
<pre><b>
{{{matrix(1,11,3, ",", 8, ",", 27, ",", 112, ",", "?", ",",3396)}}}

We notice that the sequence seems to be increasing, so let's
start with the 2nd term and divide each term by the previous term

{{{8/3="2.666..."}}}
{{{27/8="3.375"}}}
{{{112/27="4.148..."}}}
{{{"?"/112="?"}}}
{{{3396/"?"}}}

The whole parts of those decimals are going up 2,3,4,... 

So let's see how close multiplying the first term by 2 is to
the second term 8,  2×3 = 6, and we see that we must add 2 to get 8

Now let's see how close multiplying the second term by 3 is to
the third term 27,  8×3 = 24, and we must add 3 to get 27

Now let's see how close multiplying the third term by 4 is to
the fourth term 112,  27×4 = 108, and we must add 4 to get 112

Hmm!  If that pattern works, if we multiply 112 by 5, we should 
have to add 5 to get the next term.  That would be 

112×5 = 560 and if we add 5 we get 565.

But we have to check to see if we multiply 565 by 6 and add 6,
we'll get 3396.

565×6 = 3390 and sure enough when we add 6, we do indeed get 3396.

So the answer for the missing term is 565.

Edwin</pre></b>