Question

show that \[\large \dfrac{3^n-1}{2^n-1}\] is never an integer for \(n\gt 1\) and \(n\in\mathbb{Z}\)

Answer 1

can u make it clear pls

Answer 2

hey please check now @chethus

Answer 3

still not clear

Answer 4

basically the problem is about showing that expression always evaluates to some non integer

Answer 5

i should know the statement rite?

Answer 6

*

Answer 7

even/odd?

Answer 8

thats a start

Answer 9

looks like a good start!
i know \(3\mid (2^n-1)\) when \(n\) is even