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Default Dynamic range

I need a way to determine a dynamic range in order to reference it in a
formula. The range I need to reference is in column B but the beginning row
will change each time and the length of the range will also vary. I tried
using an offset formula I found on the Contextures web site,
=OFFSET(Sheet1!$A$1,0,0,COUNTA(Sheet1!$A:$A),1) but I could not make it work,
perhaps because the starting row (and the name of the worksheet) will vary.
Can anyone help?
 
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