For example, if the n-th term of the sequence is $n$, the sequence diverges to infinity. If the n-th term is $(-1)^n$, the sequence oscillates. Note that since $|a_{2n}-a_{2n+1}| = 2 $, we can choose any distance $d$ less that 2 and, for any integer $m$, find two terms beyond the m-th which differ by more that $d$.
Gershwin Theater. 222 West 51st Street, New York, NY 10019. The smash hit musical Wicked written by Stephen Swartz it has broken all previous box office records and looks set to become a Broadway legend. Based on the Novel by Gregory Maguire, the music and lyrics are by Stephen Schwartz (Godspell) with a Book by Winnie Holzman.
New Amsterdam Theatre. Operating as the main Theatre for Walt Disney, the New Amsterdam Theatre is a wonderful place to catch the hottest productions! Located in the heart of New York City, you can see the oldest Broadway theatre in all it's glory.