0.1³+0.2³+0.3³+.+0.9³算出来就行,
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 12:35:28
![0.1³+0.2³+0.3³+.+0.9³算出来就行,](/uploads/image/z/1994639-23-9.jpg?t=0.1%26%23179%3B%2B0.2%26%23179%3B%2B0.3%26%23179%3B%2B.%2B0.9%26%23179%3B%E7%AE%97%E5%87%BA%E6%9D%A5%E5%B0%B1%E8%A1%8C%2C)
0.1³+0.2³+0.3³+.+0.9³算出来就行,
0.1³+0.2³+0.3³+.+0.9³算出来就行,
0.1³+0.2³+0.3³+.+0.9³算出来就行,
结果等于2.025
0.1^3=1^3/10^3
0.2^3=2^3/10^3
.................
0.9^3=9^3/10^3
故0.1³+0.2³+0.3³+......+0.9³
=(1^3+2^3+.........+9^3)/10^3
=(9*10/2)^2/1000
=81*25/1000
=81/40
=0.001+0.008+0.027+0.064+0.125+0.216+0.343+0.512+0.729
=2.025
0.1³+0.2³+0.3³+......+0.9³
=1/1000*(1+8+27+64+125+216+343+512+729)
=2025/100
=2.025