■

sho@shokai-dnp:~$ sudo apt-cache search sqlite | grep ruby | less
libdbd-sqlite-ruby - Ruby/DBI driver for SQLite
libdbd-sqlite-ruby1.8 - Ruby/DBI SQLite driver for Ruby 1.8
libdbd-sqlite3-ruby - Ruby/DBI driver for SQLite3
libdbd-sqlite3-ruby1.8 - Ruby/DBI SQLite driver for Ruby 1.8
libsqlite-ruby - SQLite interface for Ruby
libsqlite-ruby1.8 - SQLite interface for Ruby1.8
libsqlite3-ruby - SQLite3 interface for Ruby
libsqlite3-ruby1.8 - SQLite3 interface for Ruby 1.8

とりあえず
sudo apt-get install libdbd-sqlite3-ruby libsqlite3-ruby