aratati ca nr 2plus 4plus 6 plus....100 nu este patrat perfect

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Grade: Education Subject: matematica
aratati ca nr 2plus 4plus 6 plus....100 nu este patrat perfect
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(164)
2+4+6+...+100 Nr de numere=(100-2):2+1=50 Suma=(100+2)*50:2=2550 2550 | 5 510. | 5 102. | 2 51. | 3 17. | 17 2550=5^2*2*3*17 Nu este patrat perfect
(61)
2+4+6+.....+100=2+2x2+2x3+....+2x50=2(1+2+3+...+50)=2x50x51:2