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\(=5.\left(\frac{5}{1.6}+\frac{5}{6.11}+...+\frac{5}{26.31}\right)\)
\(=5.\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{26}-\frac{1}{31}\right)\)
\(=5.\left(1-\frac{1}{31}\right)\)
\(=5.\frac{30}{31}\)
\(=\frac{6}{31}\)
\(=5.\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+\frac{5}{26.31}\right)\)
\(=5.\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+\frac{1}{21}-\frac{1}{26}+\frac{1}{26}-\frac{1}{31}\right)\)
\(=5.\left(1-\frac{1}{31}\right)=\frac{150}{31}\)
\(\frac{-9}{4}\).\(19\frac{2}{5}\)+\(\left(\frac{-3}{2}\right)^2\).\(\left(-14\frac{3}{5}\right)\)-\(\left(\frac{99}{100}\right)^0\)
=\(\frac{-9}{4}\).\(\frac{97}{5}\)+\(\frac{9}{4}\).\(\frac{-73}{5}\)-1
=\(\frac{-9}{4}\).\(\frac{97}{5}\)+\(\frac{-9}{4}\).\(\frac{73}{5}\)-1
=\(\frac{-9}{4}\).(\(\frac{97}{5}\)+\(\frac{73}{5}\))
=\(\frac{-9}{4}\).34
=\(\frac{-153}{2}\)
Học tốt
xem link mk
https://olm.vn/hoi-dap/tim-kiem?q=cho+n=1/3-2/3%5E2+3/3%5E3-4/3%5E4+...+99/3%5E99-100/3%5E100+.+Chung+minh+n+%3C+3/16+&id=491985
ai trả lời trước mà đúng mk sẽ tích cho nha