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Đinh Hải Long
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2023-12-04 19:59:04
1 x 99 + 3 x 97+... + 49 x 51 cứu với
2023-12-04 19:49:22
1 x 99 + 2 x 98+.......+49 x 51 + 50 x 50
= 1.(100-1)+2.(100-2)+3.(100-3)+....+50.(100-50)
= 1×100-1² + 2×10 -2² + ......+ 50×100-50²
= 100×(1+2+3+.....50) - (1²+2²+.......+50²)
= 100×(50×51:2) - ( 1+1.2+2+2.3+3+......+50 )
= 100×1275 - [(1.2+2.3+ … +49.50)+(1+2+3+ … +50)]
= 127500-(49.50.51:3 +1275)
= 127500 - 41650 - 1275
= 84575