Question

A =\(\dfrac{15^{16}+1}{15^{17}+1}\) B =\(\dfrac{15^{15}+1}{15^{16}+1}\)

So sánh A và B . viết bài làm rõ rằng nha !

Answer 1

A<B. vi 10A=1+14/15mu17 +1

10B=1+14/15mu 16+1

suy ra 10A<10B suy ra A<B

Answer 2

Ta có: \(15A=\frac{15^{17}+15}{15^{17}+1}=1+\frac{14}{15^{17}+1}\)

\(15B=\frac{15^{16}+15}{15^{16}+1}=1+\frac{14}{15^{16}+1}\)

Vì \(\frac{14}{15^{17}+1}< \frac{14}{15^{16}+1}\Rightarrow1+\frac{14}{15^{17}+1}< 1+\frac{14}{15^{17}+1}\)

\(\Rightarrow15A< 15B\)

\(\Rightarrow A< B\)

Vậy A < B

Answer 3

A<B

Answer 4

mk thiếu :

vì 10A= 1+14/15 mũ 17 +1

10B=1+14/15 mũ 16 +1