Tính tổng: S = 1 × 2 + 2 × 3 + 3 × 4 + ... + 99 × 100
Giải thích
S = 1 × 2 + 2 × 3 + ... + 99 × 100
3S = 1 × 2 × 3 + 2 × 3 × (4 ‒ 1) + ..... + 99 × 100 × (101 ‒ 98)
3S = 1 × 2 × 3 + 2 × 3 × 4 ‒ 1 × 2 × 3 + .... + 99 × 100 × 101 ‒ 98 × 99 × 100
3S = 99 × 100 × 101 = 999900
S = 999900 : 3 = 333300.