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IMC 2006 — Keystage 3 (IWYMIC) — individual Question 10

xIMC · IMC 2006 — Keystage 3 (IWYMIC) — individual

Question 10

A foreman tears one sheet into five pieces and gives them to employee one. Employee $n$ takes $n$ received pieces, tears each into five, and passes all pieces to employee $n+1$. Find $n$ such that employee $n$ receives fewer than $2006$ pieces but passes on at least $2006$.