Question

Arata ca a este patrat perfect :

a=1+2+3+....+100+51×101​

Answer 1

Răspuns:

Explicație pas cu pas:

1+2+3+....+100 = 100*(1 + 100)/2 = 100*101/2 = 50*101

a = 50*101 + 51*101 = 101*(50 + 51) = 101*101 = 101^2 patrat perfect

Answer 2

a=1+2+3+..+100+51×101

a=(100×101)/2+51×101

a=50×101+51×101

a=101×(50+51)

a=101×101

a=101²⇒ a-p.p.