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demonstreaza ca numarul a este patrat perfect,unde: a=1+2+3+......+100

Răspuns :

a=1+2+3+......+100
a=100x101/2
a=5050
a≈71,06 (F)
Aplicam Suma Gauss

a=1+2+3+...+100=
a=100*101/2=
a=10100/2=
a=5050

[tex]Patrat-Perfect= x^{2} [/tex]
[tex]x=71,06(radical) \\ Nu-este-Patrat-Perfect.[/tex]