rubsune2 rubsune2
  • 23-04-2020
  • Mathematics
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answer like gauss 1+3+5+7+...=999

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Danutz98
Danutz98 Danutz98
  • 23-04-2020

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

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