Question

1+2+3+.....+601 cum explicam unui elev suma lui Gaus​

Answer 1

Răspuns:

S=1+2+3+...+601=

$\frac{601(601 + 1)}{2}$

=

$\frac{601 \times 602}{2}$

=

$\frac{361.802}{2}$

=180,901

Answer 2

Formula sumei lui Gauss este:

1+2+3+...+n=[n*(n+1)]/2, adica semiprodusul dintre ultimul termen al sumei si succesorul sau.

1+2+3+...+601=?

n=601

n+1=601+1=602

1+2+3+...+601=601*602/2=601*301=180901

1+2+3+...+10=[10*(10+1)]/2=10*11/2=5*11/2