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

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

   Hint (a):

   What is the difference between the first two numbers in the sequence?

   Step 1(a):

   Add the difference to $8$.

   Step 2(a):

   The third number is $14$, set this equal to $3y+5$.

   Answer (a):

   $y=3$

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

   Hint (b):

   $2\cdot?=8$

   More Help (b):

   Follow the same steps from part (a) but replace the addition with multiplication.