Tính nhanh:
C = 5/2 + 5/6 + 5/18 + 5/54 + 5/162 + 5/486
tính nhanh :
5/2+5/6+5/18+5/54+5/162+5/486=?
5/2+5/6+5/18+5/54+5/162+5/486
đáp án :910/243
Hok tốt
B=5/2+5/6+5/18+5/54+5/162+5/486
Tính GTBT: A= 5/2+ 5/6+5/18+ 5/54+5/162+5/486
\(\dfrac{5}{2}+\dfrac{5}{6}+\dfrac{5}{18}+\dfrac{5}{54}+\dfrac{5}{162}+\dfrac{5}{486}\)
\(=\dfrac{5.243}{486}+\dfrac{5.81}{486}+\dfrac{5.27}{486}+\dfrac{5.9}{486}+\dfrac{5.3}{486}+\dfrac{5}{486}\)
\(=\dfrac{1215+405+135+45+15+5}{486}\)
\(=\dfrac{1820}{486}=\dfrac{910}{243}\)
5/2+5/6+5/18+5/54+5/162+5/486+5/1458
Giải ra cho mình nhé
Tính tổng:
A=\(\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
Ta có : \(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}\)
\(\Leftrightarrow\frac{1}{3}A=\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}+\frac{5}{1458}\)
\(\Leftrightarrow A-\frac{1}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{1820}{729}\)
\(\Leftrightarrow A=\frac{1820}{729}.\frac{3}{2}=\frac{910}{243}\)
\(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
\(=5\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.18}\right)\)
\(=5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{18}\right)\)
\(=5\left(1-\frac{1}{18}\right)\)
\(=\frac{85}{18}\)
\(B=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
\(B=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
\(B=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
1 : ta tính A x 3(h = 3)
A x 3 = 3 x \(\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
=\(\frac{15}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}\)
2 : A x 3 - A = \(\frac{15}{2}+\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}-\frac{5}{2}-\frac{5}{6}-\frac{5}{18}-\frac{5}{54}-\frac{5}{162}-\frac{5}{486}\)
A x (3-1)=A x2
A x 2= \(\frac{15}{2}-\frac{5}{486}=\frac{1820}{243}\)
A = \(\frac{910}{243}\)
k cho nha
- mik k thể đưa ra kq luôn cko bạn đc, mik chỉ gợi ý thôy:
trc tiên bạn đi tìm Mẫu chung của các số rồi từ đó bạn lấy mẫu chung chia cho mẫu của các số đó rồi lấy tử nhân vs các số mà bạn tìm đc. Khi đã tìm ra đc các số cùng mẫu thì bạn chỉ cần + lại thôy.
\(B=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}=\frac{1215+405+135+45+15+5}{486}=\frac{1820}{486}=\frac{910}{243}\approx3,75\)
tích nha làm ơn