Question

calculează 1 supra 3+2supra 3+...2016 supra 3

Answer 1

1/3+2/3+...+2016/3=
=(1+2+...+2016)/3
=2016*2017:2/3
=20333136/3
=677712

Answer 2

Inmultind toata suma cu 3 :
$\frac{1}{3} + \frac{2}{3} +..+ \frac{2016}{3} | x3$
vom obtine:
$1+2+...+2016$
Din suma lui Gauss($\frac{nx(n+1)}{2}$
=>$\frac{2016x(2016+1)}{2} =1008x2017=2033136$