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1+2+3+.........+30
2+3+4+........+30
9+10+11+........+30
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15 puncte +


Răspuns :

Răspuns:

30×31:2=930:2=465

1+2+3+..+30-1=(30×31:2)-1=930:2-1=464

1+2+3+...+30-1-2-3-4-5-6-7-8=

=(30×31:2)-(8×9:2)=

=465-36

=429

  • 1 + 2 + .. + 30 =

= 30×31 : 2

= 15×31

= 465

  • 2 + 3 + .. + 30 =

= 1 + 2 + .. + 30 - 1

= 30×31 : 2 - 1

= 465 - 1

= 464

  • 9 + 10 + .. 30 =

= 1 + 2 + .. + 30 - (1 + 2 + .. + 8)

= 30×31 : 2 - 8×9 : 2

= 465 - 36

= 429