Gauss

Help little C.F. Gauss sum all the integers from 1 to 400.

Correct answer:

s =  80200

Step-by-step explanation:

$$\begin{gathered} s=(1+400)+(2+399)+(3+398)+\mathrm{.}\mathrm{.}\mathrm{.}= \\ ={\displaystyle \frac{400}{2}}\cdot (400+1)=80200 \end{gathered}$$

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