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sum of natural numbers


Given that 1 = 1, 1 + 2 = 3, 1 + 2 + 3 = 6, and 1 + 2 + 3 + 4 = 10, what is the sum of the numbers from 1 to 100? Explain how you found your answer.

 

 Extensions

What does 1 + 2 + 3 + 4 + 5 + 6 + . . . + n equal? Give your answer in terms of n. Explain your solution.



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