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S=2019+2×(1+2+3+......+2017+2018) si aratati ca S este patratul unui numar natural.

Răspuns :

S=2019+2×(1+2+3+......+2017+2018)

S=2019+2×2018×2019:2

S=2019+2018×2019

S=2019×(1+2018)

S=2019×2019

S=2019²-p.p

Răspuns


Explicație pas cu pas:

S=2019+2×(1+2+3+......+2017+2018)


S=2019+2×2018×2019:2


S=2019+2018×2019


S=2019×(1+2018)


S=2019×2019


S=2019²-p.p


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