`1^2+2^2+3^2+...+10^2=385`
`A=100^2+200^2+300^2+...+1000^2`
`A= (100.1)^2+(100.2)^2+(100.3)^2+...+(100.10)^2`
`A=100^2 .1^2 +100^2 .2^2 +100^2 .3^2+...+100^2 .10^2`
`A=100^2 . (1^2 +2^2 +3^2+...+10^2)`
`A=10000.385`
`A=3850000`
Vậy `A=100^2+200^2+300^2+...+1000^2=3850000`