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How many remaining squares are there at step 3 of the Sierpinski Carpet process if you start with one square?
  • a)
    64
  • b)
    9
  • c)
    8
  • d)
    512
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many remaining squares are there at step 3 of the Sierpinski Carpe...
At step 3 of the Sierpinski Carpet creation, the formula for the number of remaining squares is \( R_n = 8^n \). Starting with one square at step 0, we calculate:
- \( R_1 = 8^1 = 8 \)
- \( R_2 = 8^2 = 64 \)
- \( R_3 = 8^3 = 512 \)
Thus, at step 3, there are 512 remaining squares, demonstrating the exponential growth of the pattern.
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How many remaining squares are there at step 3 of the Sierpinski Carpet process if you start with one square?a) 64b) 9c) 8d) 512Correct answer is option 'D'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about How many remaining squares are there at step 3 of the Sierpinski Carpet process if you start with one square?a) 64b) 9c) 8d) 512Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many remaining squares are there at step 3 of the Sierpinski Carpet process if you start with one square?a) 64b) 9c) 8d) 512Correct answer is option 'D'. Can you explain this answer?.
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