<PRE><B>Question 472769</B>
a&lt;sub&gt;1&lt;/sub&gt; = 8, a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;, for n &amp;#8805; 2
&lt;pre&gt;
Substitute n=2 in a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;2&lt;/sub&gt; = 10-3a&lt;sub&gt;2-1&lt;/sub&gt;

a&lt;sub&gt;2&lt;/sub&gt; = 10-3a&lt;sub&gt;1&lt;/sub&gt;

Substitute 8 for a&lt;sub&gt;1&lt;/sub&gt;

a&lt;sub&gt;2&lt;/sub&gt; = 10-3(8)

a&lt;sub&gt;2&lt;/sub&gt; = 10-24

a&lt;sub&gt;2&lt;/sub&gt; = -14

-------------------------------

Substitute n=3 in a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;3&lt;/sub&gt; = 10-3a&lt;sub&gt;3-1&lt;/sub&gt;

a&lt;sub&gt;3&lt;/sub&gt; = 10-3a&lt;sub&gt;2&lt;/sub&gt;

Substitute -14 for a&lt;sub&gt;2&lt;/sub&gt;

a&lt;sub&gt;3&lt;/sub&gt; = 10-3(-14)

a&lt;sub&gt;3&lt;/sub&gt; = 10+42

a&lt;sub&gt;3&lt;/sub&gt; = 52

-------------------------------

Substitute n=4 in a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;4&lt;/sub&gt; = 10-3a&lt;sub&gt;4-1&lt;/sub&gt;

a&lt;sub&gt;4&lt;/sub&gt; = 10-3a&lt;sub&gt;3&lt;/sub&gt;

Substitute 52 for a&lt;sub&gt;3&lt;/sub&gt;

a&lt;sub&gt;4&lt;/sub&gt; = 10-3(52)

a&lt;sub&gt;4&lt;/sub&gt; = 10-156

a&lt;sub&gt;4&lt;/sub&gt; = -146

-------------------------------

Substitute n=5 in a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;n&lt;/sub&gt; = 10-3a&lt;sub&gt;n-1&lt;/sub&gt;

a&lt;sub&gt;5&lt;/sub&gt; = 10-3a&lt;sub&gt;5-1&lt;/sub&gt;

a&lt;sub&gt;5&lt;/sub&gt; = 10-3a&lt;sub&gt;4&lt;/sub&gt;

Substitute -146 for a&lt;sub&gt;4&lt;/sub&gt;

a&lt;sub&gt;5&lt;/sub&gt; = 10-3(-146)

a&lt;sub&gt;5&lt;/sub&gt; = 10+438

a&lt;sub&gt;5&lt;/sub&gt; = 448

-------------------------------

Edwin&lt;/pre&gt;</PRE>