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Calculați:1+2+3+4+...+96+97+98+99+100=

Răspuns :

Folosim Gauss

1 + 2 + .. + n = n(n + 1) : 2

S = 1 + 2 + .. + 100

S = 100x101 : 2

S = 50x101

S = 5050

=(100x101):2

=10.100:2

=5.050