Question

[LÊ nhi]

So Sánh A và B biết:

A = \(\frac{5^{2016}+1}{5^{2017}+1}\)và B = \(\frac{5^{2017}+1}{5^{2018}+1}\)

Answer 1

[Phạm Tuấn Đạt]

\(A=\frac{5^{2016}+1}{5^{2017}+1}\)

\(\Rightarrow5A=\frac{5^{2017}+5}{5^{2017}+1}=1+\frac{4}{5^{2017}+1}\)

\(B=\frac{5^{2017}+1}{5^{2018}+1}\)

\(\Rightarrow5B=\frac{5^{2018}+5}{5^{2018}+1}=1+\frac{4}{5^{2018}+1}\)

Do \(\frac{4}{5^{2018}+1}< \frac{4}{5^{2017}+1}\)

\(\Rightarrow5A>5B\Leftrightarrow A>B\)