1/2 × 1/5 + 1/5 × 1/8 + 1/8 × 1/11 + 1/11 × 1/14 + 1/14 × 1/17

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/16 05:56:25
1/2×1/5+1/5×1/8+1/8×1/11+1/11×1/14+1/14×1/171/2×1/5+1/5×1/8+1/8×1/11+1/11×1/14+1/14×1/171/2×1/5+1/5×

1/2 × 1/5 + 1/5 × 1/8 + 1/8 × 1/11 + 1/11 × 1/14 + 1/14 × 1/17
1/2 × 1/5 + 1/5 × 1/8 + 1/8 × 1/11 + 1/11 × 1/14 + 1/14 × 1/17

1/2 × 1/5 + 1/5 × 1/8 + 1/8 × 1/11 + 1/11 × 1/14 + 1/14 × 1/17
=1/3×(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/14+1/14-1/17)
=1/3×(1/2-1/17)
=1/3×(15/34)
=5/34