print lines between two patterns in unix

Shell Programming and Scripting
1

Detroit
Chicago
Newyork
Battlecreek
Jackson
Brooklyn

How would I print only lines match between Detroit and Brooklyn used awk ?
I don't want print Detroit and Brooklyn

output should be :
Chicago
Newyork
Battlecreek
Jackson

Thanks

Jhonny

2 
$ awk '/Detroit/{ P=1; next } /Brooklyn/ {exit} P' places.txt
Chicago
Newyork
Battlecreek
Jackson
3

Thanks and it worked