Consider the sequence $2, 8, 3y + 5, \ …$.     

1. Find the value of $y$ if the sequence is arithmetic.

   Hint (a):

   Figure out what the third term should be based on the first two terms.
   Then use the result to figure out the value of $y$.

   More help (a):

   The third term should be $14$.

   Answer (a):

   $y = 3$

2. Find the value of $y$ if the sequence is geometric.

   Hint (b):

   Refer to part (a) for the solution strategy, but this time find $3y + 5$ assuming the sequence is geometric.