观世音怎么供奉:小学简便计算

来源:百度文库 编辑:查人人中国名人网 时间:2024/04/28 22:05:00
4 4 4 4
——— + ———— + ——- +……+ --------
1X3X5 3X5X7 5X7X9 97X99X101

必要步骤请带上,还有得数

4/[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999

4/[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999

4/[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999

4/[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999

4/[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999

[(2n-1)(2n+1)(2N+3)]
=[2N+3-(2N-1)]/[(2n-1)(2n+1)(2N+3)]
=1/[(2n-1)(2n+1)]-1/[(2n+1)(2N+3)]

原式=1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+……+
1/(97*99)-1/(99*101)
=1/3-1/(99*101)
=3332/9999