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\(x-\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}\right)=1\)
\(x-\left(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+\dfrac{1}{5\times4}+\dfrac{1}{5\times6}+\dfrac{1}{7\times6}\right)=1\)
\(x-\left(1-\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\right)=1\)
\(x-\left(1-\dfrac{1}{7}\right)=1\)
\(x-1+\dfrac{1}{7}=1\)
\(x+\dfrac{1}{7}=1+1\)
\(x+\dfrac{1}{7}=2\)
\(x=2-\dfrac{1}{7}\)
\(x=\dfrac{14-1}{7}=\dfrac{13}{7}\)
Nguyễn Ngọc Ánh: nhầm dấu hơi nhìu nhưng c.ơn đã giải cho mik.
d ( 1-1/2)x(1-1/3)x(1-1/4)x......x(1-1/2018)
= 1/2x2/3x3/4x...x2017/2018
=\(\frac{1x2x3x....x2017}{2x3x4x....x2018}\)
= \(\frac{1}{2018}\)
e , 1+4+7+...+100
= dãy có số số hạng là
(100-1):3+1=34 ( số số hạng)
tổng là : (100+1 ) x 34 : 2 =1717
=>1717
\(\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{6}{11}+\frac{16}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)\)
= 1 + 2 + 2
= 5
\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
=\(1-\frac{1}{7}\)
=\(\frac{6}{7}\)
B=1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
2xB=2/1*3+2/3*5+2/5*7+1/7*9+1/9*11
2xB=1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
2xB=1-1/11
2xB=10/11
B=10/11:2
B=5/11
\(=\frac{4}{7}+\frac{4}{7}-\frac{15}{28}\)
=\(\frac{4}{7}.\left(1+1-0,9375\right)\)
=\(\frac{17}{28}\approx0,61\)
\(\frac{3}{7}\times\frac{1}{3}+\frac{3}{7}\times\frac{4}{3}-\frac{3}{7}\times\frac{1}{9}\)
\(\frac{3}{7}\times\left(\frac{1}{3}+\frac{4}{3}-\frac{1}{9}\right)\)
\(\frac{3}{7}\times\left(\frac{5}{3}-\frac{1}{9}\right)\)
\(\frac{3}{7}\times\left(\frac{45}{27}-\frac{3}{27}\right)\)
\(\frac{3}{7}\times\frac{14}{9}\)
\(\frac{2}{3}\)
\(\frac{7}{15}\times\frac{6}{5}+\frac{3}{5}\times\frac{6}{5}-\frac{17}{30}:\frac{5}{6}\)
\(\frac{7}{15}\times\frac{6}{5}+\frac{3}{5}\times\frac{6}{5}-\frac{17}{30}\times\frac{6}{5}\)
\(\left(\frac{7}{15}+\frac{3}{5}-\frac{17}{30}\right)\times\frac{6}{5}\)
\(\left(\frac{14}{30}+\frac{18}{30}-\frac{17}{30}\right)\times\frac{6}{5}\)
\(\frac{1}{2}\times\frac{6}{5}\)
\(\frac{3}{5}\)
Chúc bạn học tốt !!!
37×13+37×43−37×1937×13+37×43−37×19
37×(13+43−19)37×(13+43−19)
37×(53−19)37×(53−19)
37×(4527−327)37×(4527−327)
37×14937×149
23
