Tổng bốn số khác nhau bằng 21 là : 

     21 = 9 + 8 + 3 + 1 . 

Vậy số đó là : 9831 

            Đáp số : 9831 .

thoghe la tho ghe =. dap an la tho ghe

Write a short paragraph talk about Mid-Autumn Festival !

còn x²⁰¹⁶+a chia hết cho x-1 khi a =-1.đúng chuẩn

\(\frac{7}{12}=\frac{3}{12}+\frac{4}{12}=\frac{1}{4}+\frac{1}{3}\)

ta có:\(A=\frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}=\left(\frac{1}{41}+\frac{1}{42}+...+\frac{1}{60}\right)+\left(\frac{1}{61}+\frac{1}{62}+...+\frac{1}{80}\right)\)

ta có:\(\frac{1}{41}>\frac{1}{42}>\frac{1}{43}>...>\frac{1}{60}\Rightarrow\frac{1}{41}+\frac{1}{42}+...+\frac{1}{59}+\frac{1}{60}>\frac{1}{60}+...+\frac{1}{60}=\frac{20}{60}=\frac{1}{3}\left(1\right)\)

\(\frac{1}{61}>\frac{1}{62}>\frac{1}{63}>...>\frac{1}{80}\Rightarrow\frac{1}{61}+\frac{1}{62}+...+\frac{1}{80}>\frac{1}{80}+\frac{1}{80}+...+\frac{1}{80}=\frac{20}{80}=\frac{1}{4}\left(2\right)\)

từ (1) (2) suy ra \(\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{80}>\frac{1}{3}+\frac{1}{4}=\frac{7}{12}\)

\(\Rightarrow A=\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{80}>\frac{7}{12}\left(đfcm\right)\)

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