How to set value after the page redirecting?
You need to pass the term_id along with the $form_state['redirect'] 
like   $form_state['redirect'] = $base_path . '/example/other/redirect-1/?tid='.$term_id;
and 
get the term_id in /example/other/redirect-1/ page  write something  like below 

 $term_id = $_GET['tid'];
 $term = taxonomy_term_load($term_id);
 print render($term-&gt;description);


I am giving you an idea some modification may need on code. You need to check.