Question

arătați că x=2+4+6+...+2018+1010 este pătrat perfect ​

Answer 1

x=2+4+6+...+2018+1010

x=2(1+2+3+….+1009) +1010

x=2•1009•1010:2 +1010

x=1009•1010+1010

x=1010•(1009+1)

x=1010•1010

x=1010², e patrat perfect