From the question we are given the sequence
[tex]22,16,10[/tex]We are to determine if the sequence is arithmetic or geometric
This will be done by find checking if the sequence has a common ratio or a common difference
Hence, from the sequence we can deduce that
[tex]16-22=10-16=-6[/tex]Therefore the common difference = -6
But
[tex]\frac{16}{22}\ne\frac{10}{16}[/tex]Hence the sequence does not have a common ratio
Finally
The sequnce has a common difference of -6 hence it ia an arithmetic sequence