Chelsea, who face Blackburn Rovers in their final home match on Sunday, dropped 18 points at Stamford Bridge this season with defeats to Liverpool and Arsenal as well as draws with Everton, Hull City, Newcastle United, West Ham United, Tottenham Hotspur and Manchester United.
Chelsea now lie third in the table, three points adrift of second-placed Liverpool and nine behind Manchester United, who only need a draw against Arsenal on Saturday to retain the title.
But while Terry concedes their home form has been disappointing, the Blues have not given up the chase to finish as runners-up.
"Last year we went so close in a few different things and we have done so again," said Terry. "At times we were top of the league and doing well but we threw away too many points at home against lower teams when we shouldn't have done.
"You can always lose the games against Man United, Arsenal, Liverpool, but games like Everton home and away, Fulham when they scored late on, Hull at home are the games that really cost us.
"We needed to win at Arsenal to secure third place for us and we are still pushing for second place if Liverpool slip up and we can go above them.
"As players and fans we want to win things and we have that chance with the FA Cup so we'll be trying our utmost to win it and if we do it will be a good season for us."
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