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The 5 by 5 square is built from coloured L-shaped bands of 1, 3, 5, 7 and 9 tiles. Using the same idea, what is 1 + 3 + 5 + … + 19?

Class 6Patterns in Whole NumbersWhole Numbers
  • A81
  • B361
  • C100
  • D190

Step-by-Step Solution

Adding the first n odd numbers builds an n by n square. From 1 to 19 there are 10 odd numbers, so the sum is . (81 uses 9 bands; 361 is )
Answer: C) 100

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