dealership said 0w-20 in 2015 370Z

Mikedawg8898

i just got my oil changed at a dealership and they put in 0w-20 and when i asked them about it they said that nissan recommends it and it is Mobil One Super Synthetic 0w-20 which is interchangeable with the 5w-30 ester oil the service manual says. its just not sitting right with me that 0w-20 is in my car when the owners manual says 5w-30 ester oil. will the 0w-20 mobil one super synthetic damage my motor in any way until my next oil change in 3k miles? and sorry about another oil thread, im new to this forum and tried the search engine but couldnt get it to work.