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How did guass answer 1 plus 2 plus 3 etc?

Updated: 8/17/2019
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14y ago

Best Answer

The question was: Add up all the numbers up to 100.

Der jungen Karl Friedrich didn't guess. He reasoned:

100 + 1 = 101

99 + 2 = 101

98 + 3 = 101

97 + 4 = 101

96 + 5 = 101

In this way, with the 100 numbers I can make 50 pairs, and every pair totals 101.

So all 100 numbers add up to (50 times 101) = 5,050

They say he was something like 5 years old at the time.

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14y ago
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