This arrayed formula will work

=SUM(A1:A100*(MOD(ROW(A1:A100),20)>0))
...confirmed by pressing CTRL+SHIFT+ENTER to activate the array, not just ENTER. You will know the array is active when you see curly braces { } appear around your formula. If you do not CTRL+SHIFT+ENTER you will get an error or a clearly incorrect answer. Press F2 on that cell and try again.
Does that work for you?

or non-arrayed

=SUMPRODUCT((A1:A100), --(MOD(ROW(A1:A100),20)>0))