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Using pattern recognition, derive the formula to get the sum of:1.) The numbers 1 to 10 (1 + 2 + 3 … + 10)2.) The numbers 1 to 100 (1 + 2 + 3 + 4 … + 100)3.) The numbers 1 to 1000 (1 + 2 + 3 + 4 … + 1000)

  
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