1-1/3-1/6-1/12-1/24-...-1/468
1- 1/3 - 1/6 - 1/12 - 1/24
`1-1/3-1/6-1/12-1/24`
`=24/24-8/24-4/24-2/24-1/24`
`=9/24=3/8`
2-7/9-5/6 1-1/3-1/6-1/12-1/24
1/3+1/6+1/12+1/24+1/48=?
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{24}+\dfrac{1}{48}=\dfrac{2}{3}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{12}+\dfrac{1}{12}-\dfrac{1}{24}+\dfrac{1}{24}-\dfrac{1}{48}\\ =\dfrac{2}{3}-\dfrac{1}{48}=\dfrac{31}{48}\)
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{24}+\dfrac{1}{48}=\dfrac{31}{48}\)
1/2 + 1/6 + 1/18 + 1/54 + ...... + 1/468
1/3+1/6+1/12+1/24+....+1/768+1/1536
1/3+1/6+1/12+1/24+....+1/768+1/1536
\(A=\dfrac{1}{3}\left(1+\dfrac{1}{2}+...+\dfrac{1}{256}+\dfrac{1}{512}\right)\)
Đặt B=1+1/2+...+1/256+1/512
=>2B=2+1+...+1/128+1/256
=>B=2-1/512=1023/512
=>\(A=\dfrac{1}{3}\cdot\dfrac{1023}{512}=\dfrac{341}{512}\)
Bài5:Tính
a,2/3 + 1/6 - 5/12,1/4+1/2-1/8
b,1/4+1/2-1/8
c,5/8+3/4×1/2
d,1/4+7/24×3/12
e,5/6×3/4:15/24+1/2,14/15:10/12×5/7+1/3
2-7/9-5/6 và 1-1/3-1/6-1/12-1/24
Cho A =19/24 - 1/2 -1/3 - 7/24
B= 7/12 + 5/6 + 1/4 - 3/7 - 5/12