O sa rezolv sumele separat:
1+3+5+...+39 =
= 2×1-1 +2×2-1 + 2×3-1+...+2×20-1 =
= 2×(1+2+3+...+20) - (1+1+1+...+1) de 20 ori=
= 2 × 20 × 21 : 2 - 1 × 20 =
= 20 × 21 - 20 =
= 20 × (21 - 1) =
= 20 × 20
1+3+5+...+19 =
= 2×1-1 + 2×2-1 + 2×3-1 +...+ 2×10-1 =
= 2×(1+2+3+...+10) - (1+1+1+...+1) de 10 ori=
= 2 × 10 × 11 : 2 - 1 × 10 =
= 10 × 11 - 10 =
= 10 × (11 - 1) =
= 10 × 10
(20 × 20) : (10 × 10) = 2 × 2 = 4