1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?
题目
1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)=?
答案
1/(1×3)+1/(3×5)+1/(5×7)+……+1/(17×19)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2(1/17-1/19)
=1/2(1-1/19)
=9/19
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