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简便运算:1/1×2×3+1/3×5×7+1/5×7×9+……+1/11×13×15
人气:147 ℃ 时间:2020-05-15 16:13:08
解答
1/1×3×5+1/3×5×7+1/5×7×9+……+1/11×13×15
=(1/1×3-1/3×5+1/3×5-1/5×7+1/5×7-1/7×9+……+1/11×13-1/13×15)÷4
=(1/1×3-1/13×15)÷4
=(1/3-1/195)÷4
=64/195÷4
=16/195
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