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\(B=\frac{4}{35}+\frac{4}{63}+\frac{4}{99}+\frac{4}{143}+\frac{4}{195}\)
\(B=2\cdot\left(\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}+\frac{2}{13\cdot15}\right)\)
\(B=2\cdot\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\right)\)
\(B=2\cdot\left(\frac{1}{5}-\frac{1}{15}\right)\)
\(B=2\cdot\frac{2}{15}\)
\(B=\frac{4}{15}\)
B = 4/35 + 4/63 + 4/99 + 4/143 + 4/195
B = 4/5.7 + 4/7.9 + 4/9.11 + 4/11.13 + 4/13.15
B = 4/2 . ( 2/5.7 + 2/7.9 + 2/9.11 + 2/11.13 + 2/13.15 )
B = 4/2 . ( 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11 + 1/11 - 1/13 + 1/13 - 1/15 )
B = 4/2 . ( 1/5 - 1/15 )
B = 4/2 . 2/15
B = 4/15
nhìn công thức đây này \(\sqrt[]{\sqrt{ }\hept{\begin{cases}\\\end{cases}}\frac{ }{ }^{ }_{ }\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\\\end{cases}}\hept{\begin{cases}\\\end{cases}}\orbr{\begin{cases}\\\end{cases}}}\) xong rồi đó không cần cảm ơn
B = 1/4 + 1/15 + 1/35 + 1/63 + 1/99 + 1/143 + 1/195
= 1/4 + 1/(3.5) + 1/(5.7) + 1/(7.9) + 1/(9.11) + 1/(11.13) + 1/(13.15)
= 1/4 + 1/2.(1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11 + 1/11 - 1/13 + 1/13 - 1/15)
= 1/4 + 1/2.(1/3 - 1/15)
= 1/4 + 1/2 . 4/15
= 1/4 + 2/15
= 23/60
BÀI 2
60%.x + 0,4.x + x:3= 2
\(\frac{60}{100}\)x + \(\frac{4}{10}\).x + x. \(\frac{1}{3}\)=2
\(\frac{3}{5}\).x + \(\frac{2}{5}\).x + x.\(\frac{1}{3}\)=2
(\(\frac{3}{5}\)+ \(\frac{2}{5}\)+ \(\frac{1}{3}\)) .x =2
\(\frac{4}{3}\).x =2
x = 2: \(\frac{4}{3}\)
x = \(\frac{3}{2}\)
Vậy x=\(\frac{3}{2}\)
k cho mik nha các bạn
Bài 2 :
60%x + 0.4x + x : 3 = 2
\(x.\left(\frac{60}{100}+\frac{2}{5}+\frac{1}{3}\right)\)= 2
\(x.\frac{4}{3}\)= 2
\(x=2.\frac{3}{4}\)
\(x=1.5\)
\(a,\left(-2\right)^{300}=2^{300}=\left(2^3\right)^{100}=8^{100}\)
\(\left(-3\right)^{200}=3^{200}=\left(3^2\right)^{100}=9^{100}\)
\(\Leftrightarrow\left(-3\right)^{200}>\left(-2\right)^{300}\)
\(b,A=2^{19}.27^3+15.4^9.9^4\)
A = 4/5.7 + 4/7.9 +... +4/15.17
=> 1/2.A = 2/5.7 + 2/7.9 +...+ 2/15.17
= 1/5 - 1/7 + 1/7 - 1/9 +...+1/15 - 1/17
= 1/5 - 1/17
= 17/85 - 5/85
=12/85
=> A = 12/85 : 1/2 = 12/85 . 2 = 24/85