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a fost răspuns

S=11+22+33+44+.................+1100

Răspuns :

S=11+22+33+44+.................+1100=
=11(1+2+3+4+....+100)=
=11
×100×101/2=55550

formula  folosita 1+2+3+...+n=n(n+1)/2
S=11+22+33+44+.................+1100 =11(1+2+3+100)
paranteza reprezinta suma Gauss cu formula de calcul S=[n(n+1)]:2

S1=[100×(100+1)]:2=5050

S=11×S1=11×5050=55550