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a fost răspuns

Aflati numarul natural x , astfel incat: 11+12+...+100=5(1000x-1

Răspuns :

Leontina000
11+12+...+100=5 (1000×-1)
(1+2+3+...+10+11+12+...+100)-(1+2+3+...+10)=5 (1000×-1)
[100•(100+1)]:2-[10•(10+1)]:2=5 (1000×-1)
100•101:2-10•11:2=5 (1000×-1)
50•101-5•11=5 (1000×-1)
5050-55=5 (1000×-1)
4995=5 (1000×-1)
999=200×+1=
=21rest 3

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