<PRE><B>Question 890403</B>
&lt;pre&gt;
The formula is easier to remember this way:

If you start counting with zero instead of with 1, the Rth term of

(A+B)&lt;sup&gt;N&lt;/sup&gt; is

C(N,R)A&lt;sup&gt;N-R&lt;/sup&gt;B&lt;sup&gt;R&lt;/sup&gt;

The 4th term if you count starting with with 1, is the 3rd term 
if you count starting with zero.

(2z-3)&lt;sup&gt;5&lt;/sup&gt;

C(5,3)(2z)&lt;sup&gt;5-3&lt;/sup&gt;(-3)&lt;sup&gt;3&lt;/sup&gt; =

10(2z)&lt;sup&gt;2&lt;/sup&gt;(-27) =

-270(2&lt;sup&gt;2&lt;/sup&gt;z&lt;sup&gt;2&lt;/sup&gt;) =

-270(4z&lt;sup&gt;4&lt;/sup&gt;) =

-1080z&lt;sup&gt;2&lt;/sup&gt;

Edwin&lt;/pre&gt;</PRE>