21 + 22 + 23 + 24 + ... + 21000
= ( 21 + 22 ) + ( 23 + 24 ) + ... + ( 2999 + 21000 )
= 2 . ( 1 + 2 ) + 23 . ( 1 + 2 ) + ... + 2999 . ( 1 + 2 )
= 2 . 3 + 23 . 3 + ... + 2999 . 3
= 3 . ( 2 + 23 + ... + 2999 )
Vì 3 \(⋮\)3 nên 21 + 22 + 23 + 24 + ... + 21000 \(⋮\)3