Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
For $n extgreater=2$, what is the value of $n^3 - 2n + 1$?
For $n extgreater=2$, what is the value of $n^3 - 2n + 1$?
- $n^3 - 2n + 1$ is always less than 1
- $n^3 - 2n + 1$ is always a prime number
- $n^3 - 2n + 1$ is always a perfect square
- $n^3 - 2n + 1$ is always greater than or equal to 1 (correct)
What can be said about the nature of $n^3 - 2n + 1$ for $n extgreater=2$?
What can be said about the nature of $n^3 - 2n + 1$ for $n extgreater=2$?
- $n^3 - 2n + 1$ is always a prime number
- $n^3 - 2n + 1$ is always a multiple of 3
- $n^3 - 2n + 1$ is always an even number
- $n^3 - 2n + 1$ is always an odd number (correct)
What is the relationship between $n^3 - 2n + 1$ and $n$ for $n extgreater=2$?
What is the relationship between $n^3 - 2n + 1$ and $n$ for $n extgreater=2$?
- The value of $n^3 - 2n + 1$ is always a multiple of $n$
- The value of $n^3 - 2n + 1$ is always equal to $n$
- The value of $n^3 - 2n + 1$ is always less than $n$
- The value of $n^3 - 2n + 1$ is always greater than $n$ (correct)
