Review question

What is the largest value of $n$ for which $x_n>x_{n+1}$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9473

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 $n$?