Question

Metoda lui Gauss, nu am inteles o . Daca m -ar putea ajuta cineva sa inteleg. Multumesc. si sper ca nu cer prea mult. Luni am test.

Answer 1

Formula   
1+2+3+...+n=n*(n+1)/2
ex  n=5
1+2+3+4+5=5*6:2=30:2=15
n=100
1+2+3+...+100=100*101/2=50*101=5050
Suma  numerelor  pare
2+4+6+...+100=2*(1+2+...+50)=2*[50*51)]/2=50*51=255
Suma  numerelor   impare
1+3+5+...+(2k-1)=k²
Ex  S=1+3+...+11=
2k-1=11=> k=6
S=6²=36