Question

19. Arătați ca numarul (100+200+300+400....+10000):(1+2+3+....+100)este pătrat perfect​

Answer 1

$\frac{100+200+300+400+\cdots + 10000}{1+2+3+4+5+6+\cdots + 100} = \frac{100(1+2+3+4+5+6+7+8+\cdots + 100)}{1+2+3+4+5+6+\cdots + 100} = 100 = 10^2$