[tex]\displaystyle\\
\text{Formula lui Gauss are forma urmatoare:}\\\\
S = \frac{ \text{NrDeTermeni} \times (\text{UltimulTermen} +\text{PrimulTermen})}{2} \\\\
\text{Calculam NumarulDeTermeni n:}\\\\
n = 100-57+1 =43+1=\boxed{44}\\\\
\text{UltimulTermen} = \boxed{100}\\\\
\text{PrimulTermen} = \boxed{57}\\\\
S = \frac{44(100+57)}{2}=22\times 157 = \boxed{\boxed{3454}}
[/tex]
