Final answer:
True, batch sequence and cumulative sequence checks generally require transactions to be captured on prenumbered documents to facilitate the verification process.
Step-by-step explanation:
The statement "In order to implement either a batch sequence check or cumulative sequence check, transactions must be captured on prenumbered documents" is generally true. Batch sequence and cumulative sequence checks are control procedures used in accounting and data processing to ensure that transactions are recorded in the correct order and that none are missing or duplicated. The use of prenumbered documents facilitates these checks by providing a clear, sequential framework against which the sequence of transactions can be verified. If transactions are not captured on prenumbered documents, it becomes considerably more difficult to perform these types of sequence checks.