Cascade

Is it possible to connect a wireless router to an existing wired router and obtain a wired network and a wireless network at the same time? Someone says yes, someone says no. Before I buy the new wireless router I want to make sure that it works. I was told that the definition of this kind of configuration is "cascade" and that it is just enough to replace the last digit of the IP Address (default is is goint to be 2, change into 1, having this way the same IP address of the first wired router in the second wireless router).
I am open to suggestions.