Ta có : \(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}\)

\(\Leftrightarrow\frac{1}{3}A=\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}+\frac{5}{1458}\)

\(\Leftrightarrow A-\frac{1}{3}A=\frac{5}{2}-\frac{5}{1458}\)

\(\Leftrightarrow\frac{2}{3}A=\frac{5}{2}-\frac{5}{1458}\)

\(\Leftrightarrow\frac{2}{3}A=\frac{1820}{729}\)

\(\Leftrightarrow A=\frac{1820}{729}.\frac{3}{2}=\frac{910}{243}\)

dùng máy tính là xong

\(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)

\(=5\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.18}\right)\)

\(=5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{18}\right)\)

\(=5\left(1-\frac{1}{18}\right)\)

\(=\frac{85}{18}\)

C=5/2+5/6+5/18+5/54+5/162+5/486

C=1215/486+405/486+135/486+45/486+15/486+5/486

C=1215+405+135+45+15+5/486

C=1820/486=910/243

ai biet khong ???????

bằng 5/2+6+18+54+162+486=5/528

chịc

vay cong thuc the nao

em cung tra biet dang dinh hoi cac anh chi the ma lai bi hoi lai de mai em hoi thay nhe ko

có ai giúp mình ko

= 910/243

đáp án :910/243 

Hok tốt

\(\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}+\dfrac{5}{162}+\dfrac{5}{486}\)

\(=\dfrac{5.243}{486}+\dfrac{5.81}{486}+\dfrac{5.27}{486}+\dfrac{5.9}{486}+\dfrac{5.3}{486}+\dfrac{5}{486}\)

\(=\dfrac{1215+405+135+45+15+5}{486}\)

\(=\dfrac{1820}{486}=\dfrac{910}{243}\)

3,748285322

374828532236

mình nhầm là 3,74828532236