Is the sequence {a_n}={0.4,1.6,6.4,25.6} arithmetic geometric or neither identify the common ratio or common difference
The sequence {a_n} = {0.4, 1.6, 6.4, 25.6} is a geometric sequence because each term is obtained by multiplying the previous term by the same value.
To identify the common ratio, we can find the ratio of any term to its preceding term. Let's choose the second and first term:
Common ratio = a_2/a_1 = 1.6/0.4 = 4
Therefore, the common ratio of the sequence is 4.