1/3×5=(1/3-1/5)/2
1/5×7=(1/5-1/7)/2
.
1/199×201=(1/199-1/201)/2
原式=(1/3-1/5+1/5-1/7+1/7.+1/199-1/201)/2
=(1/3-1/201)/2
=11/67
1／3×5+1／5×7+1／7×9+…1／199×201
1个回答
相关问题
-
1/（1×3×5）+1/（3×5×7）+1/（5×7×9）＋1／（7×9×11）＋1／（9×11×13）的简便算法
-
1 1 1 1 1 1——＋——＋——＋——＋—— ＋… … ＋—— 1×3 3×5 5×7 7×9 9×11 49×5
-
1×3×5×7×9×10×9×7×5×3×1=?
-
计算:1/1×3+1/3×5+1/5×7+1/7×9=?
-
1/1×3+1/3×5+1/5×7+1/7×9+1/9×11 简便算法
-
1/1×3+1/3×5+1/5×7+1/7×9+.+1/2013×2015
-
1/1×3+1/3×5+1/5×7+1/7×9+……+1/49×51
-
1/3×5+1/5×7+1/7×9.+1/2011×2013
-
计算：1/1×3+1/3×5+1/5×7+1/7×9``````+1/2001×2003
-
计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21)