Hiya guys and gals

I have a bit of a problem.

What i need to do is as follows:

in Cells A6 to A60 i have a number
in cell G1 i have a number
and in H2 i have another number

What i need to do is to sum the numbers in collum A from cell number (whatever number is in G1) and stop at what ever number is in H2

So to clarify in my basic-ish understanding of this is that in need to do something along the lines of =sum($A'G1')($A'H2)

Obviously i have tried the above and it doesn't work but i'm sure it can be done.

Any help is very much appreiciated