6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
Những câu hỏi liên quan
6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
=\frac{6}{8}\left(\frac{8}{1.3.7}+\frac{8}{3.7.9}+...+\frac{8}{13.15.19}\right)=86(1.3.78+3.7.98+...+13.15.198)
=\frac{6}{8}\left(\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+...+\frac{1}{13.15}-\frac{1}{15.19}\right)=86(1.31−3.71+3.71−7.91+...+13.151−15.191)
=\frac{6}{8}\cdot\left(\frac{1}{3}-\frac{1}{285}\right)=86⋅(31−2851)
=\frac{6}{8}\cdot\frac{94}{285}=86⋅28594
=\frac{47}{190}=19047
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6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
Giup mk nhé , mk sẽ tk cho 3 bn nào làm đúng nhất
6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
=68(81.3.7+83.7.9+...+813.15.19)=\frac{6}{8}\left(\frac{8}{1.3.7}+\frac{8}{3.7.9}+...+\frac{8}{13.15.19}\right)=86(1.3.78+3.7.98+...+13.15.198)
=68(11.3−13.7+13.7−17.9+...+113.15−115.19)=\frac{6}{8}\left(\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+...+\frac{1}{13.15}-\frac{1}{15.19}\right)=86(1.31−3.71+3.71−7.91+...+13.151−15.191)
=68⋅(13−1285)=\frac{6}{8}\cdot\left(\frac{1}{3}-\frac{1}{285}\right)=86⋅(31−2851)
=68⋅94285=\frac{6}{8}\cdot\frac{94}{285}=86⋅28594
=47190=\frac{47}{190}=19047
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6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
=\frac{6}{8}\left(\frac{8}{1.3.7}+\frac{8}{3.7.9}+...+\frac{8}{13.15.19}\right)=86(1.3.78+3.7.98+...+13.15.198)
=\frac{6}{8}\left(\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+...+\frac{1}{13.15}-\frac{1}{15.19}\right)=86(1.31−3.71+3.71−7.91+...+13.151−15.191)
=\frac{6}{8}\cdot\left(\frac{1}{3}-\frac{1}{285}\right)=86⋅(31−2851)
=\frac{6}{8}\cdot\frac{94}{285}=86⋅28594
=\frac{47}{190}=19047
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Xem thêm câu trả lời
6/1.3.5 +6/3.7.9+6/7.9.13+6/9.13.15+6/13.15.19
Giải:
Đặt:
\(A=\dfrac{6}{1.3.7}+\dfrac{6}{3.7.9}+\dfrac{6}{7.9.13}+\dfrac{6}{9.13.15}+\dfrac{6}{13.15.19}\)
\(\Leftrightarrow A=\dfrac{6}{8}\left(\dfrac{8}{1.3.7}+\dfrac{8}{3.7.9}+\dfrac{8}{7.9.13}+\dfrac{8}{9.13.15}+\dfrac{8}{13.15.19}\right)\)
\(\Leftrightarrow A=\dfrac{6}{8}\left(\dfrac{1}{1.3}-\dfrac{1}{3.7}+\dfrac{1}{3.7}-\dfrac{1}{7.9}+\dfrac{1}{7.9}-\dfrac{1}{9.13}+\dfrac{1}{9.13}-\dfrac{1}{13.15}+\dfrac{1}{13.15}-\dfrac{1}{15.19}\right)\)
\(\Leftrightarrow A=\dfrac{6}{8}\left(\dfrac{1}{1.3}-\dfrac{1}{15.19}\right)\)
\(\Leftrightarrow A=\dfrac{6}{8}\left(\dfrac{1}{3}-\dfrac{1}{285}\right)\)
\(\Leftrightarrow A=\dfrac{6}{8}.\dfrac{94}{285}\)
\(\Leftrightarrow A=\dfrac{47}{190}\)
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Tính tổng :\(\frac{6}{1.3.5}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\)
Giup mk , mk sẽ kết bạn nhé :
B=6/1.3.5 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
B=6/1.3.5+6/3.7.9+6/7.9.13+6/9.13.15+6/13.15.19
=2/5+2/63+2/273+2/585+2/1235
=886/1995
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Giup mk .Mk like bn nào trả lời sóm nhất , đúng nhất .A6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19Nếu các bn ko biết giải cách tiểu học thì giải theo sauB4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13B5-1/1.3.5 + 7-3/3.5.7 +........+ 13-9/9.11.13B5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 +............... + 13/9.11.13 - 9/9.11.13B1/1.3 - 1/3.5 + 1/3.5 - 1/5.7 + ............. + 1/9.11 - 1/11.13B1/1.3-1/11.13B 11.13/3.11.13 - 3/3.11.13 140/425
Đọc tiếp
Giup mk .Mk like bn nào trả lời sóm nhất , đúng nhất .
A=6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13.15.19
Nếu các bn ko biết giải cách tiểu học thì giải theo sau
B=4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13
B=5-1/1.3.5 + 7-3/3.5.7 +........+ 13-9/9.11.13
B=5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 +............... + 13/9.11.13 - 9/9.11.13
B=1/1.3 - 1/3.5 + 1/3.5 - 1/5.7 + ............. + 1/9.11 - 1/11.13
B=1/1.3-1/11.13
B= 11.13/3.11.13 - 3/3.11.13 = 140/425
A6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13/15/19Giup mk nhé và làm theo cách dưới :C4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13C5-1/1.3.5 + 7-3 /3.5.9 + ............................ + 13-9/9.11.13C5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 + ................... + 13/9.11.13 - 9/9.11.13C1/1.3 -1/3.5 + 1/3.5- 1/5.7 + ................................. + 1/9.11 - 1/11.13C1/1.3 - 1/11.13C 11.13/3.11.13 - 3/3.11.13 C140/425
Đọc tiếp
A=6/1.3.7 + 6/3.7.9 + 6/7.9.13 + 6/9.13.15 + 6/13/15/19
Giup mk nhé và làm theo cách dưới :
C=4/1.3.5 + 4/3.5.7 + 4/5.7.9 + 4/7.9.11 + 4/9.11.13
C=5-1/1.3.5 + 7-3 /3.5.9 + ............................ + 13-9/9.11.13
C=5/1.3.5 - 1/1.3.5 + 7/3.5.7 - 3/3.5.7 + ................... + 13/9.11.13 - 9/9.11.13
C=1/1.3 -1/3.5 + 1/3.5- 1/5.7 + ................................. + 1/9.11 - 1/11.13
C=1/1.3 - 1/11.13
C= 11.13/3.11.13 - 3/3.11.13
C=140/425
mình cũng ko hiểu cách giải này cho lắm nên mình làm thế thôi
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cách tính E= 6/ 1.3.7 + 6/2.7.9 + ... + 6/13.15.19
C=\(\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+...+\dfrac{2}{399}\)
E=\(\dfrac{6}{1.3.7}+\dfrac{6}{6.7.9}+...+\dfrac{6}{13.15.19}\)
F=\(\dfrac{92-\dfrac{1}{9}-\dfrac{2}{10}-\dfrac{3}{11}-...-\dfrac{92}{100}}{\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}}\)
G=\(10-\dfrac{1}{72}-\dfrac{1}{56}-\dfrac{1}{42}-...-\dfrac{1}{6}-\dfrac{1}{2}\)
\(C=\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+...+\dfrac{2}{399}\)
\(C=\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{19.21}\)
\(C=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{19}-\dfrac{1}{21}\)
\(C=\dfrac{1}{3}-\dfrac{1}{21}\)
\(C=\dfrac{2}{7}\)
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