Automatically move a formula line down when new data is added

Hello:

I have data in A1 to A10 and used the following =SUM(A$1:A10) formula in A12 to sum the data and keep summing new data that might be added. Is there a way to automatically keep moving A12 down one row as new data is added. When I manually add a new row the sum is updated and accounts for the new data but i am trying to find a way for it to automatically move down since the data in the sheet will be autopopulated so i would need it to move down by however many new rows are added.

Thanks