Question

\(A=\frac{7^{200}+1}{7^{202}+1};với,B=\frac{7^{205}+1}{7^{202}+1}\)

Answer 1

Ta có \(7^{200}< 7^{205}\Rightarrow7^{200}+1< 7^{205}+1\Rightarrow\frac{7^{200}+1}{7^{202}+1}< \frac{7^{205}+1}{7^{202}+1}\)

Answer 2

vi 7²⁰⁰ + 1 < 7²⁰⁵ + 1 => \(\frac{7^{200}+1}{7^{202}+1}< \frac{7^{205}+1}{7^{202}+1}\)

                                  => \(A< B\)