Question: I'm using Visual Studio 2010 and SQL Server 2012. When I try to connect to SQL Server through Visual Studio, I don't get my server name on Add connection drop down menu.

Answer: 
Go to SQL Server Management Studio to look for the correct `Server Name` and copy the value. Make all the configurations by yourself at the end just click `Test connection` button. If the connection is test successfully proceed with your work.
Insert machine\_name/SqlServerName