Question

demonstreaza ca numarul a este patrat unde a=1+2+3+100+51 ori 101

Answer 1

a=1+2+3+...+101+51·101 a=101·102/2+51·101 a=101·51+51·101 a=[101+51]²⇒a este patrat perfect;

Answer 2

1+2+3+...+100= (100*101)/2=50*101 (suma Gauss)
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a=50*101 + 51*101 = 101(50+51)=101*101=101²