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k cho mik nhé

\(\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{65}+\frac{1}{104}+\frac{1}{152}\)

\(=2.\left(\frac{1}{4}+\frac{1}{28}+\frac{1}{70}+\frac{1}{130}+\frac{1}{208}+\frac{1}{304}\right)\)

\(=2.\left(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+\frac{1}{10.13}+\frac{1}{13.16}+\frac{1}{16.19}\right)\)

\(=2.\frac{1}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{16.19}\right)\)

\(=\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{16}-\frac{1}{19}\right)\)

\(=\frac{2}{3}.\left(1-\frac{1}{19}\right)\)

\(=\frac{2}{3}.\frac{18}{19}=\frac{12}{19}\)

=1/1.2+1/2.7+1/7.5+1/5.13+1/13.8+1/8.19

=2/1.4+2/4.7+2/7.10+2/10.13+2/13.16+2/16.19(ca tu va mau cung nhan them 2 gia tri khong doi)

=2/3.(3/1.4+3/4.7+3/7.10+3/10.13+3/13.16+3/16.19)

=2/3.(1/1-1/4+1/4-1/7+1/7-1/10+1/101/13+1/13-1/16+1/16-1/19)

=2/3.18/19=12/19

Cho mình hỏi sao dầu bằng thứ 3 lại xuất hiện phân số 2/3 là sao ? Có liên quan gì tới các thừa số là mẫu cảu nó ko ?

2/1.4 + 2/4.7 + 2/7.10 + ....+ 2/196.199

bài này rất dễ nếu để ý nhé

\(\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{65}+\frac{1}{104}+\frac{1}{152}=\frac{2}{4}+\frac{2}{28}+\frac{2}{70}+\frac{2}{130}+\frac{2}{208}+\frac{2}{304}=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+\frac{2}{13.16}+\frac{2}{16.19}\)rồi phần còn lại em tự tính nhé

1/2 + 1/14 + 1/35 + 1/65 + 1/104 + 1/152  = 12/19 nhé bạn !

de nhu an banh

Đặt S = tổng trên

2S=1/4+1/28+1/70+1/130+1/208+1/304

2S=1/1.4+1/4.7+1/7.10+1/10.13+1/13.16+1/16.19

2S=1/3.(3/1.4+3/4.7+3/7.10+3/10.13+3/13.16+3/16.19)

2S=1/3.(1-1/19)

2S=1/3.18/19

2S=6/19

 S=6/19:2

 S=3/19

Kết quả A = 12/19

\(\Leftrightarrow A=\frac{1}{2}+\frac{1}{2\cdot7}+\frac{1}{7.5}+\frac{1}{5.13}+\frac{1}{13.8}+\frac{1}{8.19}\)

\(\Rightarrow A=\frac{1}{2}+\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{5}+\frac{1}{5}-\frac{1}{13}+\frac{1}{13}-\frac{1}{8}+\frac{1}{8}-\frac{1}{19}\)

\(\Rightarrow A=-\frac{1}{19}\)

hình như là thế ko chắc đâu nhé

\(C=\frac{1}{2}+\frac{1}{14}+\frac{1}{35}+\frac{1}{65}+\frac{1}{104}+\frac{1}{152}\)

\(C=\frac{2}{4}+\frac{2}{28}+\frac{2}{70}+\frac{2}{130}+\frac{2}{208}+\frac{2}{304}\)

\(C=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+\frac{2}{10.13}+\frac{2}{13.16}+\frac{2}{16.19}\)

\(C=\frac{2}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}+\frac{3}{16.19}\right)\)

\(C=\frac{2}{3}.\left(3-\frac{3}{4}+\frac{3}{4}-\frac{3}{7}+\frac{3}{7}-\frac{3}{10}+\frac{3}{10}-\frac{3}{13}+\frac{3}{13}-\frac{3}{16}+\frac{3}{16}-\frac{3}{19}\right)\)

\(C=\frac{2}{3}.\left(3-\frac{3}{19}\right)\)

\(C=\frac{2}{3}.\frac{54}{19}\)

\(C=\frac{36}{19}\)

mk sai bước cuối

\(C=\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}+\frac{1}{16}-\frac{1}{19}\right)\)

\(C=\frac{2}{3}.\left(1-\frac{1}{19}\right)\)

\(C=\frac{2}{3}.\frac{18}{19}\)

\(C=\frac{12}{19}\)

C là 12/19 đấy

đơn giản

\(C=\frac{1}{1.2}+\frac{1}{2.7}+\frac{1}{5.7}+\frac{1}{5.13}+\frac{1}{8.13}+\frac{1}{8.19}\)

\(\frac{3}{2}C=\frac{3}{2}\)(\(\frac{1}{1.2}+\frac{1}{2.7}+\frac{1}{5.7}+\frac{1}{5.13}+\frac{1}{8.13}+\frac{1}{8.19}\))

\(\frac{3}{2}C=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}+\frac{3}{16.19}\)

\(\frac{3}{2}C=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}+\frac{1}{16}-\frac{1}{19}\)

\(\frac{3}{2}C=1-\frac{1}{19}=\frac{18}{19}\)

\(C=\frac{18}{19}:\frac{3}{2}=\frac{12}{19}\)