Debit note series

Is a debit note the same as a new invoice with a reference to the old invoice? Is it mandatory to maintain a separate sequence for debit notes that does not affect the invoice sequence? Currently, issuing one debit note increases the invoice number by one. Is this correct, or should a separate sequence be set for debit notes?

invoice 1
Invoice 2
Debit note 3
Invoice 4
Credit note 5

We added Separate series for Invoice and Debit note . same like Sales invoice and Credit note (Sales Return )

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