Question

s=57+58+59+........+100

Answer 1

   
[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]