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Blue bars of heights 1, 2, 3, 4, 5, 6 and the same bars turned upside down (yellow) fit together into a rectangle. Using this idea, find 1 + 2 + 3 + … + 20.

Class 6Patterns in Whole NumbersWhole Numbers
  • A420
  • B200
  • C210
  • D231

Step-by-Step Solution

The rectangle is 6 columns by 7 rows, so . In the same way . (420 forgets to halve; 231 uses )
Answer: C) 210

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