是计算题我打不出题目见谅

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是计算题我打不出题目见谅是计算题我打不出题目见谅是计算题我打不出题目见谅1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+...+1/(49×51)=(1-1/3)×1/2+(1/3-1

是计算题我打不出题目见谅
是计算题我打不出题目见谅

是计算题我打不出题目见谅
1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+...+1/(49×51)
=(1-1/3)×1/2+(1/3-1/5)×1/2+(1/5-1/7)×1/2+(1/7-1/9)×1/2+...+(1/49-1/51)×1/2
=(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+...+1/49-1/51)×1/2
=(1-1/51)×1/2
=50/51×1/2
=25/51