3/(2+4+6+...+1004)+3/(2+4+6+...+1006)+3/(2+4+6+...+1008)3/(2+4+6+...+2006)还要算出答案! 提示:2+4+6+… +2n=2(1+2+…+n)=n(n+1)急!!!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 18:28:50
![3/(2+4+6+...+1004)+3/(2+4+6+...+1006)+3/(2+4+6+...+1008)3/(2+4+6+...+2006)还要算出答案! 提示:2+4+6+… +2n=2(1+2+…+n)=n(n+1)急!!!](/uploads/image/z/1033177-49-7.jpg?t=3%2F%EF%BC%882%2B4%2B6%2B...%2B1004%EF%BC%89%2B3%2F%EF%BC%882%2B4%2B6%2B...%2B1006%EF%BC%89%2B3%2F%EF%BC%882%2B4%2B6%2B...%2B1008%EF%BC%893%2F%EF%BC%882%2B4%2B6%2B...%2B2006%EF%BC%89%E8%BF%98%E8%A6%81%E7%AE%97%E5%87%BA%E7%AD%94%E6%A1%88%EF%BC%81+%E6%8F%90%E7%A4%BA%EF%BC%9A2%2B4%2B6%2B%E2%80%A6+%2B2n%3D2%EF%BC%881%2B2%2B%E2%80%A6%2Bn%EF%BC%89%3Dn%EF%BC%88n%2B1%EF%BC%89%E6%80%A5%EF%BC%81%EF%BC%81%21)
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3/(2+4+6+...+1004)+3/(2+4+6+...+1006)+3/(2+4+6+...+1008)3/(2+4+6+...+2006)还要算出答案! 提示:2+4+6+… +2n=2(1+2+…+n)=n(n+1)急!!!
3/(2+4+6+...+1004)+3/(2+4+6+...+1006)+3/(2+4+6+...+1008)3/(2+4+6+...+2006)
还要算出答案!
提示:2+4+6+… +2n=2(1+2+…+n)=n(n+1)
急!!!
3/(2+4+6+...+1004)+3/(2+4+6+...+1006)+3/(2+4+6+...+1008)3/(2+4+6+...+2006)还要算出答案! 提示:2+4+6+… +2n=2(1+2+…+n)=n(n+1)急!!!
分析:
可利用的原理是1/[n(n+1)]=1/n-1/(n+1)
所以原式=3*[1/(502*503)+1/(503*504)+...+1/(1003*1004)]
=3*[1/502-1/503+1/503-1/504+...+1/1003-1/1004]
=3*(1/502-1/1004)
=3/1004
3/(1006x1006)+3/(1008x1008)+3/(1010x1010)+3/(2008x2008)
1004/3