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Demonstreaza ca numarul R= 2016 +2 x ( 1 + 2 + 3 +... + 2015 ) este patrat perfect

Răspuns :

Iovitugeorge
2016 + 2* (2015 * 2016) /2 = 2016 + 2015 * 2016=2016(2015+1)=2016 * 2016

Mihaelap
R = 2016 + 2 * (2015 * 2016) : 2         
R = 2016 + (2015 * 2016)
R = 2016(1 + 2015) 
R = 2016 * 2016
R = 2016²

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