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.
About the Lyceum Theatre. THE LYCEUM THEATRE, LONDON. The Lyceum Theatre is a 2,000-seat West End theatre located in the City of Westminster, on Wellington Street, just off the Strand. There has been a theatre with this name in the locality since 1765, and the present site opened on 14 July 1834 to a design by Samuel Beazley.