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2000 AMC 10 Question 12

AMC10 · 2000 AMC 10

Question 12

Figures $0,$ $1,$ $2,$ and $3$ consist of $1,$ $5,$ $13,$ and $25$ nonoverlapping unit squares, respectively. If the pattern were continued, how many nonoverlapping unit squares would there be in figure $100?$

Question illustration
  1. $10401$
  2. $19801$
  3. $20201$
  4. $39801$
  5. $40801$