Math Olympiad Level Alpha

Math Olympiad Level Alpha

Day 2 – Pattern in odd numbers

Sketch of the discussion:

  1. Can you write the first five odd numbers?
  2. Experiment with the sum of the first few odd numbers: add first two odd numbers, then add first three odd numbers, then add first four odd numbers extra to create a sequence. Do you see any pattern?
  3. Draw the sum of odd numbers. Notice that the sum of first n odd numbers is \( n \times n \)

Sum of odd numbers is perfect square

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