Đáp án:
Giải thích các bước giải:
$\dfrac{5}{1.6}$$+$$\dfrac{5}{6.11}$$+$$...$$+$$\dfrac{5}{(5x+1)(5x+6)}$$=$$\dfrac{2005}{2006}$
$ $
$⇒1-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+...+\dfrac{1}{5x+1}-\dfrac{1}{5x+6}=\dfrac{2005}{2006}$
$ $
$⇒1-\dfrac{1}{5x+6}=\dfrac{2005}{2006}$
$ $
$⇒\dfrac{1}{5x+6}=\dfrac{1}{2006}$
$ $
$⇒5x+6=2006$
$⇒5x=2000$
$⇒x=400$