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1)Gaseste numerele naturale cu proprietatea: abb÷2
2)demonstreaza ca numarul a este patrat perfect, unde a=1+2+3+...+100+51×101


Răspuns :

1) 122, 222, 322, 422,...922
144, 244, 344, ....944
166, 266, 366...966
188,288,388,488...988
100,200,300,400,...900

2) a=100•101/2+51•101
a=50•101+51•101=101(50+51)=101•101
a= 101^2, deci e patrat perfect