[tex]\text{If a, b, c are an arithmetic sequence then}\ a+c=2b.\\\\\text{If a, b, c are a geometric sequence, then}\ ac=b^2\\\\\text{We have -5, 0, 10, 15, 25}\\\\a=-5,\ b=0,\ c=10\\\\a+c=-5+10=5\\2b=2(0)=0\\\text{It's not an arithmetic sequence}\\\\ac=(-5)(10)=-50\\b^2=0^2=0\\\text{It's not a geometric sequence}\\\\\text{Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, ...}\\\\Answer:\ -5,\ 0,\ 10,\ 15,\ 25\ \text{is different sequence}.[/tex]
