\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{10}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.......\frac{9}{10}=\frac{1.2.3......9}{2.3.4.....10}=\frac{1}{10}\)

\(P=\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{6}\right)\left(1-\dfrac{1}{10}\right)...\left(1-\dfrac{1}{1225}\right)\left(1-\dfrac{1}{1275}\right)\)

\(=\dfrac{2}{3}.\dfrac{5}{6}.\dfrac{9}{10}...\dfrac{1224}{1225}.\dfrac{1274}{1275}\)

\(=\dfrac{2.2}{3.2}.\dfrac{5.2}{6.2}.\dfrac{9.2}{10.2}...\dfrac{1224.2}{1225.2}.\dfrac{1274.2}{1275.2}\)

\(=\dfrac{4}{9}.\dfrac{10}{12}.\dfrac{18}{20}...\dfrac{2448}{2450}.\dfrac{2548}{2550}\)

\(=\dfrac{1.4}{2.3}.\dfrac{2.5}{3.4}.\dfrac{3.6}{4.5}...\dfrac{48.51}{49.50}.\dfrac{49.52}{50.51}\)

\(=\dfrac{1.2.3...48.49}{2.3.4...49.50}.\dfrac{4.5.6...51.52}{3.4.5...50.51}\)

\(=\dfrac{1}{50}.\dfrac{52}{3}\)

\(=\dfrac{26}{75}\).

(1 - \(\frac{1}{6}\)) x (1- \(\frac{1}{7}\)) x (1- \(\frac{1}{8}\)) x (1 - \(\frac{1}{9}\)) x (1-\(\frac{1}{10}\))

=\(\frac{5}{6}\)x \(\frac{6}{7}\)x \(\frac{7}{8}\)x \(\frac{8}{9}\)x \(\frac{9}{10}\)

= \(\frac{5\times6\times7\times8\times9}{6\times7\times8\times9\times10}\)

= \(\frac{5}{10}\)

=\(\frac{1}{2}\)

x/2013 - 1/10 - 1/15 - 1/21 - ... - 1/120 = 5/8
x/2013 – (2/20 + 2/30 + 2/42 + … + 2/240) = 5/8
x/2013 – 2 x (1/(4x5) + 1/(5x6) + 1/(6x7) + … + 1/(15x16)) = 5/8
x/2013 – 2 x (1/4 – 1/16) = 5/8
x/2013 – 2 x 3/16 = 5/8
x/2013 = 5/8 + 6/16 = 1
x = 2013

đây là đáp án của tôi

x/2013 - 1/10 - 1/15 - 1/21 - ... - 1/120 = 5/8
x/2013 – (2/20 + 2/30 + 2/42 + … + 2/240) = 5/8
x/2013 – 2 x (1/(4x5) + 1/(5x6) + 1/(6x7) + … + 1/(15x16)) = 5/8
x/2013 – 2 x (1/4 – 1/16) = 5/8
x/2013 – 2 x 3/16 = 5/8
x/2013 = 5/8 + 6/16 = 1
x = 2013

x/2013 - 1/10 - 1/15 - 1/21 - ... - 1/120 = 5/8
x/2013 – (2/20 + 2/30 + 2/42 + … + 2/240) = 5/8
x/2013 – 2 x (1/(4x5) + 1/(5x6) + 1/(6x7) + … + 1/(15x16)) = 5/8
x/2013 – 2 x (1/4 – 1/16) = 5/8
x/2013 – 2 x 3/16 = 5/8
x/2013 = 5/8 + 6/16 = 1
x = 2013

Tại sao phải làm vậy? Làm vậy thì được gì?

A xin lỗi mình nhấn nhầm

bạn không biết làm thì đi đừng có mà ra oai còn đồ đỉ Nguyen thi phuong thuy

\(1\frac{1}{7}\cdot1\frac{1}{8}\cdot1\frac{1}{9}\cdot...\cdot1\frac{1}{50}\)

\(=\frac{8}{7}\cdot\frac{9}{8}\cdot\frac{10}{9}\cdot...\cdot\frac{51}{50}\)

\(=\frac{8\cdot9\cdot10\cdot...\cdot51}{7\cdot8\cdot9\cdot...\cdot50}\)

\(=\frac{51}{7}\)

S=1/2x 2/3x 3/4x............x2016/2017

S=1/1x 1/2017

S=1/2017

\(S=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{2017}\right)\)

\(S=\frac{1}{2}\cdot\frac{2}{3}\cdot\cdot\cdot\cdot\cdot\cdot\cdot\frac{2016}{2017}\)

\(S=\frac{1.2........2016}{2.3..........2017}\)

\(S=\frac{1}{2017}\)

\(S=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x...x\left(1-\frac{1}{2017}\right)\)

\(=\frac{1}{2}x\frac{2}{3}x...x\frac{2016}{2017}\)

\(=\frac{1}{2017}\)

Tran bang

Bạn đợi tí nha ! Mình đang làm !

Câu d là dấu " ) "  đúng không bạn ?

\(1+x-2+2x=3\)

\(\left(1-2\right)+\left(x+2x\right)=3\)

\(-1+3x=3\)

\(3x=3-\left(-1\right)=3+1\)

\(3x=4\)

\(x=\frac{4}{3}\)

a)1+x-2(1-x)=3

=)1+x-2+2x=3

=)-1+3x=3

=)3x=4

=)x=4/3

\(\frac{2}{3}x=\frac{5}{4}+\frac{1}{2}x\)

\(\Rightarrow\frac{2}{3}x-\frac{1}{2}x=\frac{5}{4}\)

\(\frac{1}{6}x=\frac{5}{4}\)

\(x=\frac{5}{4}:\frac{1}{6}\)

x = 15/2

2/3.x = 5/4 + 1/2 . x

2/3. x - 1/2 . x =5/4

(2/3-1/2).x=5/4

1/3.x=5/4

x=5/4:1/3

x=15/4