A 9 year od child prodigy irritated his teacher so she assigned him the task of finding the sum of all the counting numbers from 1 to 100 inclusive to the teacher suprise the child arrived at the correct number within seconds what is the sum? what pattern did the child see to calculate the answer so quickly?

Question

Braeden Velasquez

Mathematics

1 December, 22:34

A 9 year od child prodigy irritated his teacher so she assigned him the task of finding the sum of all the counting numbers from 1 to 100 inclusive to the teacher suprise the child arrived at the correct number within seconds what is the sum? what pattern did the child see to calculate the answer so quickly?

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Answers (1)

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Brylee Macias · Answer 1

De guy was Carl Friedrich Gauss, aka the prince of math

so he noticed that

1+100=101

2+99=101

etc

so there wer some pairs

how many?

there wer 100 numbers from 1 to 100 so

100/2=50

50 pairs

so then 101 times 50 pairs=5050 total