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

Gọi giá trị của biểu thức trên là A. Ta có:

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

\(3A=\dfrac{15}{2}+\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}\)

\(3A-A=\left(\dfrac{15}{2}+\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}\right)-\left(\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}+\dfrac{5}{162}\right)\)

\(2A=\dfrac{15}{2}-\dfrac{5}{162}\)

\(A=\left(\dfrac{15}{2}-\dfrac{5}{162}\right)\div2=\dfrac{605}{81}\div2=\dfrac{605}{162}\)

= 10/3 + 5/18 + 5/54 + 5/162

= 65/18 + 5/54 + 5/162

= 100/27 + 5/162

= 605/162

\(\dfrac{5}{2}\)+\(\dfrac{5}{6}\)+\(\dfrac{5}{18}\)+\(\dfrac{5}{54}\)+\(\dfrac{5}{162}\)=\(\dfrac{605}{162}\)

\(=\frac{910}{243}NHA\) Nguyễn Thị Hà My !

bạn làm hẳn ra có được ko hả 

có ai giúp mình ko

= 910/243

đáp án :910/243 

Hok tốt

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

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

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

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

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

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

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

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

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

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

3,748285322

374828532236

mình nhầm là 3,74828532236