### Home > AC > Chapter 14 > Lesson 14.2.1.5 > Problem2-72

2-72.

Choose one of the sequences in problem 2-71 for which you determined that $447$ is not a term. Write a clear explanation (that an Algebra 1 student would be able to understand) describing how you can be sure that $447$ is not a term of the sequence.

$447 = 24 − 5n$

$423 = −5n$

$−84.6 = n$

In order for a term to appear in the sequence, n must be a positive integer. Since the term, '$447$' is neither, it does not appear in the sequence.