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aratati ca nr: a=2+4+6+....100+51 este patrat perfect

Răspuns :

a = 2 + 4 + 6 + .. + 100+51

a = 2(1 + 2 + ... +50) + 51

a = 2·50·51 : 2 + 51

a = 50·51 + 51

a = 51(50 + 1)

a = 51·51 patrat perfect

a = 2 + 4 + 6 + .. + 100+51  

a = 2(1 + 2 + ... +50) + 51

a = 2·50·51 : 2 + 51

a = 50·51 + 51

a = 51(50 + 1)

a = 51·51 patrat perfect