S = 1 + 2 + 3 + ........ + 73 + 74 + 75
S =75 + 74 + 73 + ......+ 3 + 2 + 1
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2 x S = ( 1 + 75 ) + ( 2 + 74 ) + ( 3 + 73 ) + ....+ ( 73 + 3 ) + ( 74 + 2 ) + ( 75 + 1 )
2 x S = 76 + 76 + 76 ..........+ 76 + 76 + 76
2 x S = 75 x 76 → de 75 de ori suma 76 ( suma avand 75 de termeni)
2 x S = 5 700
S = 5 700 : 2
S = 2 850