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1/4X5+1/5X6+1/6X7+1/7X8+1/8X9+1/9X10=多少1/(4X5)+1/(5X6)+1/(6X7)+1/(7X8)+1/(8X9)+1/(9X10)=多少
题目详情
1/4X5+1/5X6+1/6X7+1/7X8+1/8X9+1/9X10=多少
1/(4X5)+1/(5X6)+1/(6X7)+1/(7X8)+1/(8X9)+1/(9X10)=多少
1/(4X5)+1/(5X6)+1/(6X7)+1/(7X8)+1/(8X9)+1/(9X10)=多少
▼优质解答
答案和解析
1/4X5 + 1/5X6 + 1/6X7 + 1/7X8 + 1/8X9 + 1/9X10
= (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8) + (1/8 -1/9) + (1/9 - 1/10)
= 1/4 - 1/10
= 3/20
= (1/4 - 1/5) + (1/5 - 1/6) + (1/6 - 1/7) + (1/7 - 1/8) + (1/8 -1/9) + (1/9 - 1/10)
= 1/4 - 1/10
= 3/20
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