Explicație pas cu pas:
[tex]\dfrac{2037-1}{2}=\dfrac{2036}{2}=\boxed{1018\:este \:termenul\:din\:mijloc}\\\\\\1375-1018= \boxed{357\:este\:primul\:termen}\\\\\\1357+1018 = \boxed{2393\:ultimul\:termen\:din\:sir}[/tex]
[tex]\it S=357+357+.359+.......2393\\\\S=(357+2393)\cdot2037:2\\\\S=2750\cdot2037:2\\\\S=1375\cdot2037\\\\\boxed{\it S=2800875}[/tex]