(\(\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+........+\frac{1}{97\cdot100}\))=\(\frac{0,33\cdot x}{2009}\)
mik cần biết cách trình bày nhanh lên
Những câu hỏi liên quan
left(3cdot x-0,8right):x+14,5151,2cdot(frac{2,4cdot x-0,23}{x}-0,051,44frac{1}{1cdot4}+frac{1}{4cdot7}+frac{1}{7cdot10}+...+frac{1}{97cdot100}frac{0,33cdot x}{2009}x-frac{20}{11cdot13}-frac{20}{13cdot15}-...-frac{20}{53cdot55}frac{3}{11}left(frac{10}{56}+frac{10}{140}+frac{10}{260}+...+frac{10}{1400}right)cdot xfrac{5}{14}Các bạn ơi trả lời giùm mình với nhé, cần gấp.
Đọc tiếp
\(\left(3\cdot x-0,8\right):x+14,5=15\)
1,2\(\cdot\)(\(\frac{2,4\cdot x-0,23}{x}\)\(-0,05=1,44\)
\(\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+...+\frac{1}{97\cdot100}=\frac{0,33\cdot x}{2009}\)
\(x\)-\(\frac{20}{11\cdot13}-\frac{20}{13\cdot15}-...-\frac{20}{53\cdot55}=\frac{3}{11}\)
\(\left(\frac{10}{56}+\frac{10}{140}+\frac{10}{260}+...+\frac{10}{1400}\right)\)\(\cdot x=\frac{5}{14}\)
Các bạn ơi trả lời giùm mình với nhé, cần gấp.
\(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+....+\frac{1}{97.100}=\frac{0,33.x}{2009}\)
\(\Leftrightarrow\frac{1}{3}\cdot\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+....+\frac{1}{97}-\frac{1}{100}\right)=\frac{0,33.x}{2009}\)
\(\Leftrightarrow\frac{1}{3}\cdot\left(1-\frac{1}{100}\right)=\frac{0,33.x}{2009}\)
\(\Leftrightarrow\frac{1}{3}\cdot\frac{99}{100}=\frac{0,33.x}{2009}\)
\(\Leftrightarrow\frac{33}{100}=\frac{0,33.x}{2009}\)
\(\Leftrightarrow x=\frac{0,33\times100}{0,33}=100\)
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Tính tổng A=\(\frac{2}{1\cdot4}+\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+...+\frac{2}{97\cdot100}\)
\(A=\frac{2}{3}\left[\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{97.100}\right]\)
\(A=\frac{2}{3}\left[\left[\frac{1}{1}-\frac{1}{4}\right]+\left[\frac{1}{4}-\frac{1}{7}\right]+...+\left[\frac{1}{97}-\frac{1}{100}\right]\right]\)
\(A=\frac{2}{3}\left[\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{100}\right]\)
\(A=\frac{2}{3}\left[1-\frac{1}{100}\right]=\frac{2}{3}.\frac{99}{100}=\frac{33}{50}\)
AI THẤY ĐÚNG ỦNG HỘ MIK NHÉ
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Đào Trong Luân tra loi dung qua. Cho mink kb nha.
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\(A=\frac{^{3^2}}{1\cdot4}+\frac{3^2}{4\cdot7}+\frac{3^2}{7\cdot10}+...+\frac{3^2}{97\cdot100}\) Tính Nhanh
1/3.A=\(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{97.100}\)
=\(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-...+\frac{1}{97}-\frac{1}{100}\)
=\(1-\frac{1}{100}\)
=\(\frac{99}{100}\)
=>A=\(\frac{99}{100}:\frac{1}{3}\)
=\(\frac{297}{100}\)
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\(A=3.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)
\(A=3.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{97}-\frac{1}{100}\right)\)
\(A=3.\left(1-\frac{1}{100}\right)\)
\(A=3.\frac{99}{100}=\frac{297}{100}\)
Các bạn chọn đúng cho mình nhé!
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Bài 2 : Tính tổng A :
\(A=\frac{2}{1\cdot4}+\frac{2}{4\cdot7}+\frac{2}{7\cdot10}+...+\frac{2}{97\cdot100}\)
\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+..........+\frac{2}{97.100}=\frac{3}{2}\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+.........-\frac{1}{100}\right)\)
\(=\frac{3}{2}\times\frac{99}{100}=\frac{297}{200}\)
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2/3( giong cai tren nha)
=2/3.99/100=198/300 nha
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Trả lời :...........................
\(\frac{198}{300}\)
Hk tốt,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
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Xem thêm câu trả lời
a)\(\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+...+\frac{1}{x\cdot\left(x+1\right)}=\frac{125}{376}\)
A=\(\frac{^{3^2}}{1\cdot4}\)+ \(\frac{3^2}{4\cdot7}\)+ \(\frac{3^2}{7\cdot10}\)+ \(\frac{3^2}{10\cdot13}\)+\(\frac{3^2}{13\cdot16}\)+......+ \(\frac{3^2}{97\cdot100}\)
A = \(\frac{3^2}{1\cdot4}+\frac{3^2}{4\cdot7}+\frac{3^2}{7\cdot10}+\frac{3^2}{10\cdot13}+\frac{3^2}{13\cdot16}+...+\frac{3^2}{97\cdot100}\)
A : 3 = \(\frac{3}{1\cdot4}+\frac{3}{4\cdot7}+\frac{3}{7\cdot10}+\frac{3}{10\cdot13}+\frac{3}{13\cdot16}+...+\frac{3}{97\cdot100}\)
A : 3 = \(\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}+...+\frac{1}{97}-\frac{1}{100}\)
A : 3 = \(\frac{1}{1}-\frac{1}{100}\)
A : 3 = \(\frac{99}{100}\)
A = \(\frac{297}{100}\)
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\(\frac{5}{1\cdot4\cdot7}+\frac{5}{4\cdot7\cdot10}+\frac{5}{7\cdot10\cdot13}+.....+\frac{5}{31\cdot34\cdot37}\)Tính nhanh ( giải kiểu lớp 5 và dấu . là nhân)
THANKS nhiều
\(lim\left(\frac{1}{2\cdot4}+\frac{1}{5\cdot7}+\frac{1}{8\cdot10}+...+\frac{1}{\left(3n-1\right)\cdot\left(3n+1\right)}\right)\)
CHỨNG TỎ RẰNG :
\(\frac{1}{1\cdot4}+\frac{1}{4\cdot7}+\frac{1}{7\cdot10}+...+\frac{1}{67\cdot70}< 1\)
\(A=\frac{1}{1.4}+\frac{1}{2.7}+...+\frac{1}{67.70}\)
\(3A=\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{67.70}\)
\(3A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{67}-\frac{1}{70}\)
\(3A=1-\frac{1}{70}=\frac{69}{70}\)
\(A=\frac{69}{70}:3=\frac{23}{70}\)
vì \(\frac{23}{70}< 1\)
nên \(\frac{1}{1.4}+\frac{1}{4.7}+...+\frac{1}{67.70}< 1\)
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\(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{67.70}\)
\(=3.\left(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{67.70}\right)\)
\(=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{67.70}\)
\(=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{67}-\frac{1}{70}\)
\(=1-\frac{1}{70}\)
\(=\frac{69}{70}< 1\)
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