Question

Answer like gauss 1+3+5+7+...=999

Answer 1

1+3+5+7+...+999 =

= 1+2+3+4+...+500

+1+2+3+...+499

= 2·(1+2+3+...+499) + 500

= 2·(499·500)/2 + 500

= 499·500 + 500

= 500·(499 + 1)

= 500·500

= 250.000