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.
The Piccadilly Theatre is situated on Denman Street in London's West End, hidden behind Piccadilly Circus. Owned and operated by the Ambassador Theatre Group, The Piccadilly Theatre plays host to the London West End adaptation of the Oscar winning film Dirty Dancing by original writer Eleanor Bergstein, and directed by Sarah Tipple.