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Question

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giúp em với ạ em bận lắm rồi còn 1 bài văn chưa viết nữa ạ

Nguyễn Lê Phước Thịnh · Accepted Answer

$B=\dfrac{2008}{1}+\dfrac{2007}{2}+\dfrac{2006}{3}+...+\dfrac{2}{2007}+\dfrac{1}{2008}$

$=\left(1+\dfrac{2007}{2}\right)+\left(1+\dfrac{2006}{3}\right)+...+\left(\dfrac{2}{1007}+1\right)+\left(\dfrac{1}{2008}+1\right)+1$

$=\dfrac{2009}{1}+\dfrac{2009}{2}+...+\dfrac{2009}{2008}$

$=2009$

Câu trả lời:

$B=\dfrac{2008}{1}+\dfrac{2007}{2}+\dfrac{2006}{3}+...+\dfrac{2}{2007}+\dfrac{1}{2008}$

$=\left(1+\dfrac{2007}{2}\right)+\left(1+\dfrac{2006}{3}\right)+...+\left(\dfrac{2}{1007}+1\right)+\left(\dfrac{1}{2008}+1\right)+1$

$=\dfrac{2009}{1}+\dfrac{2009}{2}+...+\dfrac{2009}{2008}$

$=2009$