Question

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?

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