Tính nhanh :
2/2+2/6+2/12+2/20+2/30+2/42
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D=1/2-1/32=15/32
E=1/1X2+1/2X3+1/3X4+1/4X5+1/5X6
E=1/1-1/6=5/6
K MÌNH NHA
Bài làm
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+...+\frac{1}{90}+\frac{1}{110}\)
\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
\(A=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(A=\frac{1}{1}-\frac{1}{11}\)
\(A=\frac{10}{11}\)
M = \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\)
M = \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\)
M = 1 -\(\frac{1}{9}\)=\(\frac{8}{9}\)
day so tren co so so hang la
(2n-2):2+1=n(so hang)
tong tren la
(2n+2).n:2=n.(n+1)
hok tot
+)
\(\frac{1}{2}=\frac{6}{12};\frac{1}{3}=\frac{4}{12};-\frac{1}{12}\)
+)
\(\frac{9}{30}=\frac{3}{10}=\frac{12}{40};\frac{98}{80}=\frac{49}{40}\)
1/2=6/12 1/3=4/12 -1/12=-1/12
9/30=3/10 98/80=49/40
3/10=12/40 49/40=49/40
(dấu . là dấu nhân )
a, \(\frac{3}{2}\cdot\frac{4}{7}+\frac{3}{7}\cdot\frac{3}{2}\)
= \(\frac{3}{2}\left(\frac{4}{7}+\frac{3}{7}\right)\)
=\(\frac{3}{2}\cdot\frac{7}{7}=\frac{3}{2}\)
b, \(\frac{12}{5}\cdot4-4\cdot\frac{7}{5}\)
=\(4\left(\frac{12}{5}-\frac{7}{5}\right)=4\cdot\frac{5}{5}=4\)
c, \(\frac{5}{11}:\frac{1}{2}+\frac{6}{11}:\frac{1}{2}\)
=\(2\left(\frac{5}{11}+\frac{6}{11}\right)=2\cdot\frac{11}{11}=2\)
a;3/2x(4/7+3/7)
=3/2x1
=3/2
b;12/5x4-4x7/5
=4x(12/5-7/5)
=4x1
=4
c;5/11:1/2+6/11:1/2
=1/2:(5/11+6/11)
=1/2:1
=1/2
Làm
2/2 + 2/6 + 2/12 + 2/20 + 2/30 + 2/42
= 2/2 + 2/2.3 + 2/3.4 + 2/4.5 + 2/5.6 + 2/6.7
= 2.( 1/2 + 1/2.3 + 1/3.4 + 1/4.5 + 1/5.6 + 1/6.7 )
= 2. ( 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 + 1/6 - 1/7 )
= 2 . [ ( 1/2 + 1/2 ) + (-1/3 + 1/3 ) + (-1/4 + 1/4 ) + (-1/5 + 1/5 ) + (-1/6 + 1/6 ) - 1/7 ]
= 2 . [ 2/2 - 1/7 ]
= 2 . [ 1 - 1/7 ]
= 2 . [ 7/7 - 1/7 ]
= 2 . 6/7
= 12/7
HỌC TỐT
\(\frac{2}{2}\)+\(\frac{2}{6}\)+\(\frac{2}{12}\)+\(\frac{2}{20}\)+\(\frac{2}{30}\)+\(\frac{2}{42}\)
= \(\frac{2}{1.2}\)+\(\frac{2}{2.3}\)+\(\frac{2}{3.4}\)+\(\frac{2}{4.5}\)+\(\frac{2}{5.6}\)+\(\frac{2}{6.7}\)
= \(\frac{2}{1}\)-\(\frac{2}{2}\)+\(\frac{2}{2}\)-\(\frac{2}{3}\)+\(\frac{2}{3}-\frac{2}{4}\)+\(\frac{2}{4}\)-\(\frac{2}{5}\)+\(\frac{2}{5}\)-\(\frac{2}{6}\)+\(\frac{2}{6}\)-\(\frac{2}{7}\)
=\(\frac{2}{1}\)-\(\frac{2}{7}\)
= \(\frac{12}{7}\)
CỐ GẮNG HOK TỐT NHÉ