계산: 1 / 1 × 4 + 1 / 4 × 7 + 1 / 7 × 10 + 1 / 10 × 13 + 1 / 13 × 16 + 1 / 16 × 19 + 1 / 19 × 22 =?

계산: 1 / 1 × 4 + 1 / 4 × 7 + 1 / 7 × 10 + 1 / 10 × 13 + 1 / 13 × 16 + 1 / 16 × 19 + 1 / 19 × 22 =?

1 / 1 × 4 + 1 / 4 × 7 + 1 / 7 × 10 + 1 / 10 × 13 + 1 / 13 × 16 + 1 / 16 × 19 + 1 / 19 × 22
= 1 / 3 (1 - 1 / 4 + 1 / 4 - 1 / 7 + 1 / 7 - 1 / 10 + 1 / 10 / 1 / 13 / 13 - 1 / 16 + 1 / 16 - 1 / 19 + 1 / 19 - 1 / 22)
= 1 / 3 (1 - 1 / 22)
= 1 / 3 * (21 / 22)
= 7 / 22