Answer
Not arithemetic
Work Step by Step
You are given the sequence $1,1,2,3,5,8$.
Find the common difference (difference between consecutive terms) and if there is one, the sequence is arithmetic.
Note that:
$1-1=0\\
2-1=1\\
3-2=1\\
5-3=2\\
8-5=3$
\
The differences are not constant so the sequence is not arithmetic.