Determine all positive integer n which 2-n-1 is divisible by 3-

Question

Toppr Admin · Accepted Answer

2n-1 is divisible by 3-x21D2-3-x2212-1-n-1 is divisible by 3-x21D2-x2212-1-n-1 is divisible by 3-x21D2-n-xA0-is-xA0-oddSet of all odd natural numbers in the set of all those positive integer for which 2n-1 is divisible by 3-

Determine all positive integer n for which $2^{n} + 1$ is divisible by 3.

$2^{n} + 1$ is divisible by 3.
$\Rightarrow (3 - 1)^{n} + 1$ is divisible by 3
$\Rightarrow (- 1)^{n} + 1$ is divisible by 3
$\Rightarrow n i s o d d$
Set of all odd natural numbers in the set of all those positive integer for which $2^{n} + 1$ is divisible by 3.

Determine all positive integer n for which 2n+1 is divisible by 3.

2n+1 is divisible by 3.⇒(3−1)n+1 is divisible by 3⇒(−1)n+1 is divisible by 3⇒n is oddSet of all odd natural numbers in the set of all those positive integer for which 2n+1 is divisible by 3.

Determine all positive integer n for which $2^{n} + 1$ is divisible by 3.

$2^{n} + 1$ is divisible by 3.
$\Rightarrow (3 - 1)^{n} + 1$ is divisible by 3
$\Rightarrow (- 1)^{n} + 1$ is divisible by 3
$\Rightarrow n i s o d d$
Set of all odd natural numbers in the set of all those positive integer for which $2^{n} + 1$ is divisible by 3.