1`1`1+2`2`2=9=1/4*4*9=1/4*2`2*3`31`1`1+2`2`2+3`3`3=36=1/4*9*16=1/4*3`3*4`41`1`1+2`2`2+3`3`3+4`4`4=100=1/4*16*25=1/4*4`4*5`51·1·1+2·2·2+3·3·3+……+n`n`n等于多少?并利用此式比较1·1·1+2·2·2+3·3·3……+100·100·100与(-5000)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 12:18:09
![1`1`1+2`2`2=9=1/4*4*9=1/4*2`2*3`31`1`1+2`2`2+3`3`3=36=1/4*9*16=1/4*3`3*4`41`1`1+2`2`2+3`3`3+4`4`4=100=1/4*16*25=1/4*4`4*5`51·1·1+2·2·2+3·3·3+……+n`n`n等于多少?并利用此式比较1·1·1+2·2·2+3·3·3……+100·100·100与(-5000)](/uploads/image/z/10911628-28-8.jpg?t=1%601%601%2B2%602%602%3D9%3D1%2F4%2A4%2A9%3D1%2F4%2A2%602%2A3%6031%601%601%2B2%602%602%2B3%603%603%3D36%3D1%2F4%2A9%2A16%3D1%2F4%2A3%603%2A4%6041%601%601%2B2%602%602%2B3%603%603%2B4%604%604%3D100%3D1%2F4%2A16%2A25%3D1%2F4%2A4%604%2A5%6051%C2%B71%C2%B71%2B2%C2%B72%C2%B72%2B3%C2%B73%C2%B73%2B%E2%80%A6%E2%80%A6%2Bn%60n%60n%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F%E5%B9%B6%E5%88%A9%E7%94%A8%E6%AD%A4%E5%BC%8F%E6%AF%94%E8%BE%831%C2%B71%C2%B71%2B2%C2%B72%C2%B72%2B3%C2%B73%C2%B73%E2%80%A6%E2%80%A6%2B100%C2%B7100%C2%B7100%E4%B8%8E%EF%BC%88-5000%EF%BC%89)
1`1`1+2`2`2=9=1/4*4*9=1/4*2`2*3`31`1`1+2`2`2+3`3`3=36=1/4*9*16=1/4*3`3*4`41`1`1+2`2`2+3`3`3+4`4`4=100=1/4*16*25=1/4*4`4*5`51·1·1+2·2·2+3·3·3+……+n`n`n等于多少?并利用此式比较1·1·1+2·2·2+3·3·3……+100·100·100与(-5000)
1`1`1+2`2`2=9=1/4*4*9=1/4*2`2*3`3
1`1`1+2`2`2+3`3`3=36=1/4*9*16=1/4*3`3*4`4
1`1`1+2`2`2+3`3`3+4`4`4=100=1/4*16*25=1/4*4`4*5`5
1·1·1+2·2·2+3·3·3+……+n`n`n等于多少?并利用此式比较1·1·1+2·2·2+3·3·3……+100·100·100与(-5000)·(-5000)的大小.
1`1`1+2`2`2=9=1/4*4*9=1/4*2`2*3`31`1`1+2`2`2+3`3`3=36=1/4*9*16=1/4*3`3*4`41`1`1+2`2`2+3`3`3+4`4`4=100=1/4*16*25=1/4*4`4*5`51·1·1+2·2·2+3·3·3+……+n`n`n等于多少?并利用此式比较1·1·1+2·2·2+3·3·3……+100·100·100与(-5000)
1·1·1+2·2·2+3·3·3+……+n`n`n=(1/4)*n^2(n+1)^2
1·1·1+2·2·2+3·3·3……+100·100·100=(1/4)*100^2*101^2=25502500
(-5000)·(-5000)=25000000
25502500-25000000=502500,
所以第一个式子的值大.
=52943