Final answer:
Peter Sellers played the role of the bumbling French police inspector, Inspector Jacques Clouseau, in the Pink Panther series during the decade across three sequels.
Step-by-step explanation:
The character played by Peter Sellers in three sequels during the decade is b) The Inspector. These films are part of the Pink Panther series, where Sellers portrayed the hilariously inept French police detective, Inspector Jacques Clouseau. The character became an iconic example of slapstick comedy and Sellers' performance is widely celebrated for its comedic genius. The Pink Panther series began in the 1960s and continued into the following decades.