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what major league player stole more than 100 bases for three consecutive seasons
Hank Aaron, Alex Rodriguez and Lou Gehrig hold the record with 13 consecutive 100+ run season. Aaron from 1955-1967, Rodriguez from1996-2008 (his streak ended in 2009 w/78 runs scored), Gehrig from 1926-1938.
Albert Pujols
Albert Pujols of the Cardinals and Ted Williams of the Red Sox drove in 100+ runs in each of their first eight seasons. Al Simmons of the Athletics drove in 100+ runs in each of his first eleven seasons. Some others that had 100+ RBIs in at least eight consecutive seasons were Babe Ruth (1926-1933), Lou Gehrig (1926-1938), Manny Ramirez (1998-2006), Willie Mays (1959-1966), Sammy Sosa (1995-2003), Jimmie Foxx (1929-1941), Mel Ott (1929-1936), Rafael Palmeiro (1995-2003), and Frank Thomas (1991-1998).
Vince Coleman of the St. Louis Cardinals stole more than 100 bases for three consecutive seasons (1985, 1986, 1987). In 1985, his rookie year, Coleman recorded 110 stolen bases. He stole 107 and 109 bases in 1986 and 1987, respectively.