Identify the Sequence 0 , 4 , 8 , 12 , 16

This is an arithmetic sequence since there is a common difference between each term. In this case, adding ${\displaystyle 4}$ to the previous term in the sequence gives the next term. In other words, ${\displaystyle a_n=a_1+d(n-1)}$.

This is the formula of an arithmetic sequence.

Substitute in the values of ${\displaystyle a_1=0}$ and ${\displaystyle d=4}$.

Add ${\displaystyle 0}$ and ${\displaystyle 4(n-1)}$.

Apply the distributive property.