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Mada8888
a fost răspuns

Scrieți nr 2017 la puterea 2017 ca suma de 2017 nr Nat consecutive

Răspuns :

SummerLover
2017 la piterea 2017= 1+2+3+...+2017
sunt 2017 nr
s=(2017+1)×2017÷2
s=2018×2017÷2
s=4.070.306÷2
s=2.035.153
fie cele 2017 numere consecutive
a, a+1,a+2,....a+2016
2017^2017=a+a+1+a+2+...+a+2016
2017^2017=2017a+2017×2016/2
a=2017^2016-1008
a+1=2017^2016-1007
....
a+2016=2017^2016+1008
2017^2017=(2017^2016-1008)+(2017^2016-1007)+....+2017^2016+(2017^2016+1)+....(2017^2016+1008)

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