Rogers was educated at New College, Oxford, where he matriculated in 1724 and graduated with a Bachelor of Arts two years later.
He was then Mayor of Plymouth for 1728-1729 and 1743-1744 and Recorder of Plymouth (in 1744?). In 1744, he succeeded his father as baronet. He served as colonel of the South Devon Militia and was High Sheriff of Devon in 1749 and in 1755.
Rogers died of a stroke at his seat in Blachford in Devon and was buried in Cornwood four days later.
8th Parliament of Great Britain]
Rogers entered the British House of Commons as Member of Parliament (Member of Parliament) for Plymouth in 1739, representing the constituency until the next year, when he was unseated.