Sammy Sosa becomes the first Cubs player to reach 100 RBIs six consecutive times. Hack Wilson did it for five straight seasons from 1926 to 1930.

On August 5, 2000 — Sammy Sosa becomes the first Cubs player to reach 100 RBIs six consecutive times. Hack Wilson did it for five straight seasons from 1926 to 1930.

Source:
Baseball Reference August 5
National Pastime
Retro Sheet
Hall of Fame
SABR Games Project
Replay The Game