Question

Describe all the positive integers that would make [1/2^4]^n less than (1/2). Explain your reasoning

Answer 1

We have the following inequation:

`\begin{gathered} ((1)/(2^4))^n<(1)/(2) \\ (1)/(2^((4\cdot n)))<(1)/(2) \\ 2^(4n)>2 \\ \end{gathered}`

The values of n that satisfy the inequation are such that 4n > 1, so:

`\begin{gathered} 4n>1 \\ n>(1)/(4) \end{gathered}`

But n is an integer, so any positive integer satisfy the inequation