Directions: Using the digits 1-9 at most one time each, create a sequence that is in numerical order and cannot be simplified anymore.

### Hint

How are radicals simplified to get the index? What does that index represent?

### Answer

More than one answer. One possible is 3sqr(7), 8sqr(2), 5sqr(6)

The reasoning and approach would be of real interest and a comparison amongst student answers.

Source: Phillip Haislip-Hansberry

Not sure I agree with the word ‘sequence’ here. Doesn’t sequence usually imply that there is a pattern to get the next term?

Not necessarily, when it says sequence it is referring to the “numerical order” considering that is a pattern.