Ta có:
\(B=\frac{6}{8}+\frac{6}{56}+\frac{6}{140}+...+\frac{6}{1100}+\frac{6}{1400}\)
\(\Rightarrow B=\frac{3}{4}+\frac{3}{28}+\frac{3}{140}+...+\frac{3}{550}+\frac{3}{700}\)
\(\Rightarrow B=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{22.25}+\frac{3}{25.28}\)
\(\Rightarrow B=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{22}-\frac{1}{25}+\frac{1}{25}-\frac{1}{28}\)
\(\Rightarrow B=1-\frac{1}{28}\)
\(\Rightarrow B=\frac{28}{28}-\frac{1}{28}=\frac{27}{28}\)
NHỚ TK MK NHA,MK ĐANG ÂM ĐIỂM
\(B=\frac{6}{8}+\frac{6}{56}+\frac{6}{140}+....+\frac{6}{1100}+\frac{6}{1400}\)
Rút gọn các phân số số ; ta được :
\(B=\frac{3}{4}+\frac{3}{56}+\frac{3}{70}+....+\frac{3}{550}+\frac{3}{700}\)
\(B=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{22.25}+\frac{3}{25.28}\)
\(B=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{22}-\frac{1}{25}+\frac{1}{25}-\frac{1}{28}\)
\(B=1-\frac{1}{28}=\frac{27}{28}\)
Vậy biểu thức \(B=\frac{27}{28}\)
Ta có:
\(B=\frac{6}{8}+\frac{6}{56}+\frac{6}{140}+...+\frac{6}{1400}\)
Sau khi rút gọn ta sẽ được :
\(B=\frac{3}{4}+\frac{3}{28}+\frac{3}{70}+...+\frac{3}{700}\)
\(\Rightarrow B=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{25.28}\)
\(\Rightarrow B=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{25}-\frac{1}{28}\)
\(\Rightarrow B=\frac{1}{1}-\frac{1}{28}=\frac{27}{28}\)
Vậy giá trị của biểu thức B là 27/28
