Suggestion

The sequence \(x_n\) is given by the formula \[x_n=n^3-9n^2+631.\]

The largest value of \(n\) for which \(x_n>x_{n+1}\) is

  1. 5;

  2. 7;

  3. 11;

  4. 17.

How else could we write \(x_n>x_{n+1}\)? Can we use this to form an inequality in \(n\)?