A professional bass fisherman caught 385 bass during a 14-day tournament. Each day he caught three more fish than he did the day before. How many fish did the fisherman catch on each individual day?

Extension
Generate a shortcut to check the total number of fish caught by the fisherman during the tournament. Use only the number of fish in the first day’s catch, the number of fish in the last day’s catch, and number of days in the tournament. Explain your reasoning.