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A=1+(1/6+1/12+1/20+...+1/90):2
A=1+(1/2-1/3+1/3-1/4+1/4-1/5+...+1/9-1/10):2
A=1+(1/2-1/10):2
A=1+2/5:2
A=1+1/5
A=6/5
Vậy A=6/5 nha bạn
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\(P=\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\)
\(\Rightarrow\frac{1}{2}P=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}\)
\(=\frac{5}{10}-\frac{1}{10}\)
\(=\frac{4}{10}=\frac{2}{5}\)
\(\Rightarrow P=\frac{2}{5}\div\frac{1}{2}\)
\(=\frac{2}{5}.2=\frac{4}{5}\)
Vậy \(P=\frac{4}{5}\).
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\(P=\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\)
\(\frac{1}{2}P=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(\frac{1}{2}P=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(\frac{1}{2}P=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\)
\(\frac{1}{2}P=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)
\(P=\frac{4}{5}\)
a =143
b = 2510
c 28 x 73 = 2044
cái câu c tính nhẩm chết liền
d [ 1700 - 340 +17 ] : 17 = 81
2 . Tìm x
a 7 . [ x - 3 ] - 6 = 1
7 . [ x - 3 ] = 1+6
7 . [ x - 3 ] = 7
x - 3 = 7 : 7
x - 3 =1
x=3+1=4
b
[x+5] .2:11=6
[x+5] x 2 = 6 x 11
[ x + 5 ] x 2 = 66
x+2=66:2
x+2=33
x=33-2=31
Bài 1
a, \(45+98=143\)
b, \(2605-95=2510\)
c,\(28.73+28\)
\(=28.\left(73+1\right)\)
\(=28.74\)
\(=2072\)
d,\(\left[1700-340+17\right]:17\)
\(=1700:17-340:17+17:17\)
\(=100-20+1\)
\(=81\)
Bài 2
a, \(7.\left(x-3\right)-6=1\)
\(\Leftrightarrow7.\left(x-3\right)=7\)
\(\Leftrightarrow x-3=1\)
\(\Leftrightarrow x=4\)
b, \(\left(x+2\right).2:11=6\)
\(\Leftrightarrow\left(x+2\right).2=66\)
\(\Leftrightarrow x+2=33\)
\(\Leftrightarrow x=31\)
Ta có A = \(\left(1-\frac{1}{3}\right).\left(1-\frac{1}{6}\right).\left(1-\frac{1}{10}\right)...\left(1-\frac{1}{780}\right)\)
= \(\frac{2}{3}.\frac{5}{6}.\frac{9}{10}...\frac{779}{780}=\frac{4}{6}.\frac{10}{12}.\frac{18}{20}...\frac{1558}{1560}=\frac{1.4}{2.3}.\frac{2.5}{3.4}.\frac{3.6}{4.5}...\frac{38.41}{39.40}=\frac{\left(1.2.3...38\right).\left(4.5.6...41\right)}{\left(2.3.4...39\right).\left(3.4.5...40\right)}\)
= \(\frac{1.41}{39.3}=\frac{41}{117}\)
Sửa đề : \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+....+\frac{2}{x\left(x+1\right)}=1+\frac{1991}{1993}\)
\(\Leftrightarrow\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+....+\frac{2}{x\left(x+1\right)}=\frac{3984}{1993}\)
\(\Leftrightarrow\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+....+\frac{2}{x\left(x+1\right)}=\frac{3984}{1993}\)
\(\Leftrightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+....+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{3984}{1993}\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{3984}{1993}\div2\)
\(\Leftrightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{1992}{1993}\)
\(\Leftrightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{1992}{1993}\Leftrightarrow\frac{1}{x+1}=\frac{1}{1993}\)
\(\Leftrightarrow x+1=1993\Rightarrow x=1993-1=1992\)
Vây x = 1992