B= $\frac{36}{1.3.5}$ + $\frac{36}{3.5.7}$ +...+$\frac{36}{25.27.29}$
= 9.( $\frac{4}{1.3.5}$ +$\frac{4}{3.5.7}$ +...+ $\frac{4}{25.27.29}$)
= 9. ( $\frac{1}{1.3}$ - $\frac{1}{3.5}$ + $\frac{1}{3.5}$ -$\frac{1}{5.7}$ +$\frac{1}{5.7}$-$\frac{1}{7.9}$ +...+ $\frac{1}{25.27}$ $\frac{1}{27.29}$ )
= 9 . ( $\frac{1}{3}$ - $\frac{1}{173}$ )
= 9. $\frac{1}{3}$ - 9. $\frac{1}{173}$
= 3 - $\frac{1}{87}$
⇒ B= 3- $\frac{1}{87}$
Cho mình câu hay nhất nhé. Thanks