Consider the following three sequences:

1. Which, if any, is arithmetic? Geometric? Neither?

   Hint (a):

   $t(n)=50−7n=43,36,29...$
   $h(n)=4·3n=12,36,108...$
   $q(n)=n2−6n+17=12,9,8,9...$

2. Are there any terms that all three sequences have in common? Justify how you know for sure.

   Hint (b):

   Continue the sequence of numbers for $q(n)$.
   Are any of these numbers the same as $t(n)$ and $h(n)$?

3. Are there any terms that two of them share? Justify how you know for sure.

   Hint (c):

   Set the equations equal to each other and solve for $x$.