tính nhanh
5/2+5/6+5/18+5/64+5/192+5/486
Tính nhanh:
C = 5/2 + 5/6 + 5/18 + 5/54 + 5/162 + 5/486
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
tính nhanh :
5/2+5/6+5/18+5/54+5/162+5/486=?
tính tổng mà không qui đồng
5/2+5/6+5/18+............+5/486
Bước 1: Tính B x 3 ( n = 3)
B x 3 = 3 x (5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162 + 5 /486)
= 15/2 + 5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162
Bước 2: Tính B x 3 – B
B x 3 – B = 15/2 +5/2 +5/6 +5/18 +5/54 + 5/162 -5/2 -5/6 -5/18 - 5/54 - 5 /162 - 5/486
B x (3 - 1) = B x 2
B x 2 =15/2 - 5/486
B x 2 = 3640/486
B = 3640 / 486 : 2 = 910/243
Bước 1: Tính B x 3 ( n = 3)
B x 3 = 3 x (5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162 + 5 /486)
= 15/2 + 5/2 + 5/6 + 5/18 + 5/ 54 + 5 /162
Bước 2: Tính B x 3 – B
B x 3 – B = 15/2 +5/2 +5/6 +5/18 +5/54 + 5/162 -5/2 -5/6 -5/18 - 5/54 - 5 /162 - 5/486
B x (3 - 1) = B x 2
B x 2 =15/2 - 5/486
B x 2 = 3640/486
B = 3640 / 486 : 2 = 910/243
Khó quá em lớp 5 có bài này mà nhìn các anh chị giải ko hiểu
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 tổng:
A=\(\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
Ta có : \(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}\)
\(\Leftrightarrow\frac{1}{3}A=\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{468}+\frac{5}{1458}\)
\(\Leftrightarrow A-\frac{1}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{5}{2}-\frac{5}{1458}\)
\(\Leftrightarrow\frac{2}{3}A=\frac{1820}{729}\)
\(\Leftrightarrow A=\frac{1820}{729}.\frac{3}{2}=\frac{910}{243}\)
\(A=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)
\(=5\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.18}\right)\)
\(=5\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{6}+\frac{1}{6}-\frac{1}{9}+\frac{1}{9}-\frac{1}{18}\right)\)
\(=5\left(1-\frac{1}{18}\right)\)
\(=\frac{85}{18}\)
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
\(B=\frac{5}{2}+\frac{5}{6}+\frac{5}{18}+\frac{5}{54}+\frac{5}{162}+\frac{5}{486}\)