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aratati ca: 2007 divide cu (1+2+3+....+2007)

Răspuns :

2007 | (1+2+3...+2007)

2007 | 2007*1004 adevarat..(am folosit Gauss).
Adica:   [tex](1+2+3+...+2007)\;\vdots\;2007\\ 1+2+3+...+2007=\frac{2007*2008}{2}=2007*1004\;\vdots\;2007[/tex]