The sequence is Arithmetic and the common difference is 2
The form of a arithmetic sequence is
[tex]a_n=a_1+(n-1)d[/tex]we know the first term of the sequence: -36. Doing the calculations for a2:
[tex]\begin{gathered} -34=-36+(2-1)d \\ 36-34=2=d \end{gathered}[/tex]The difference between the first and second term is 2. If this is a arithmetic sequence, d has to be the same for all other terms of the sequence.
let's see:
-34+2=-32
-32+2=-30
Thus, the sequence is arithmetic and d=2
