Consider a table named transactions representing financial transactions in a bank.

Your task is to write a query to find the accounts that have had at least three consecutive transactions where the sum of amounts is positive. Display the account$\_$id$,$ the starting date of the consecutive transactions, and the ending date of the consecutive transactions.

Tables Schema as Below:

transactions

columnName dataType

transaction$\_$id INT

account$\_$id INT

transaction$\_$date DATE