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( 1-1/2) . (1-1/3).(1-1/4).......(1-1/2016) . (1-1/2017)
=1/2.2/3.3.4x...x2015/2016.2016/2017
=1.2.3.4. ... .2015.2016/2.3.4.5. ... .2016.2017
(giống nhau bạn gạch đi )
=1/2017
\(\frac{1}{2\cdot x}-2021-\frac{1}{4}-\frac{1}{12}-\frac{1}{24}-...-\frac{1}{222}=\frac{6}{11}\)
\(\frac{1}{2\cdot x}-2021-\left(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{222}\right)=\frac{6}{11}\)
....
Cái dãy \(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{222}\) nó không có quy luật, không tính được
Sửa đề\(\frac{1}{2x-2021}-\frac{1}{4}-\frac{1}{12}-\frac{1}{24}-...-\frac{1}{220}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\left(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{220}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{110}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+..+\frac{1}{10}-\frac{1}{11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(1-\frac{1}{11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}.\frac{10}{11}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{5}{11}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}=1\)
=> 2x - 2021 = 1
=> 2x = 2022
=> x = 1011
Vậy x = 1011
Trả lời :
a, 295,1 : ( x - 13 ) = 13
=> x - 13 = 295,1 : 13
x - 13 = 22,7
=> x = 22,7 + 13
x = 35,7
b, ( 8,2 + x ) . 4,1 = 184,5
=> 8,2 + x = 184,5 : 4,1
8,2 + x = 45
=> x = 45 - 8,2
x = 36,8
c, ( x + 1,2 ) x 26,7 = 961,2
=> x + 1,2 = 961,2 : 26,7
x + 1,2 = 36
=> x = 36 - 1,2
x = 34,8
a, 295,1 : ( x - 13 ) = 13
x - 13 = 295,1 : 13
x - 13 = 22,7
x = 22,7 + 13
x = 45,7
b, ( 8,2 + x ) x 4,1 = 184,5
8,2 + x = 184,5 : 4,1
8,2 + x = 45
x = 45 - 8,2
x = 36,8
c, ( x + 1,2 ) x 26,7 = 961,2
x + 1,2 = 961,2 : 26,7
x + 1,2 = 36
x = 36 - 1,2
x = 34,8
a) 5.(x-20) = 35
(x-20) = 35:5
x-20 = 7
x = 27
b) (x+125) -301 = 56
x+125 -301 = 56
x - 176 = 56
x = 56 +176
x= 232
c) 215 + (x-21):2 = 235
(x-21):2 = 235 - 215
(x-21):2 = 20
x-21 = 20 .2
x-21 = 40
x = 61
d) (x:23 +45) .67 = 8911
(x:23 +45) = 8911 : 67
x:23+45 = 133
x:23 = 133-45
x:23 = 88
x = 88.23
x = 2024
\(\frac{314}{55}\)> \(\frac{164}{45}\)
Nếu mình đúng thì k mình và gửi kết bạn nhé
\(H=\frac{2\cdot2}{1\cdot5}+\frac{2\cdot2}{5\cdot9}+...+\frac{2\cdot2}{45.49}\)
\(H=\frac{4}{1\cdot5}+\frac{4}{5\cdot9}+...+\frac{4}{45\cdot49}\)
\(H=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+...+\frac{1}{45}-\frac{1}{49}\)
\(H=1-\frac{1}{49}\)
\(H=\frac{48}{49}\)
\(H=\frac{2.2}{1.5}+\frac{2.2}{5.9}+\frac{2.2}{9.13}+...+\frac{2.2}{45.49}\)
\(\Rightarrow H=\frac{4}{1.5}+\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{45.49}\)
\(\Rightarrow H=\frac{5-1}{1.5}+\frac{9-5}{5.9}+...+\frac{49-45}{45.49}\)
\(\Rightarrow H=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+...+\frac{1}{45}-\frac{1}{49}\)
\(\Rightarrow H=1-\frac{1}{49}=\frac{48}{49}\)
A = 1( 2+1 ) + 2( 3+1 ) + 3( 4+1 ) +...+ 97( 98+1 ) + 98( 99+1 )
A = 1.2 + 1.1 + 2.3 + 2.1 + 3.4 + 3.1 +...+ 97.98 +97.1 + 98.99 + 98.1
A = ( 1.2 + 2.3 + 3.4 +...+ 97.98 + 98.99 ) + ( 1 + 2 + 3 +....+ 97 + 98)
A = 323400 + 4851 = 328251
3.54 .73 + 0 . 23 . 25 + 3 . 54. 27+ 0. 17 .25 = 11826 + 0+ 4374 +0=16200
= 16200 nha
k nhé