We haven't been playing for weeks is not wrong as an isolated sentence. It's impossible to say why your book said it was incorrect without knowing what lesson you were learning and what conditions were placed on your choices. CJ
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Hyung-min Cho" Would you and Sam like to play volleyball on Saturaday?"These sentences contain negation: haven't = have not.
"Oh, yes please, We 1. haven't played for weeks 2. haven't been playing for weeks"