Answer:
The sequence is ARITHMETIC and the commo DIFFERENCE is 5
Explanations:
Given the sequence as shown;
-6, -1, 4, 9...
An arithmetic sequence is known for its common difference while the geometric sequence is known for its common ratio.
For a sequence T₁, T₂, T₃ ...., the common difference is expressed as:
d = T₃ - T₂ = T₂ - T₁
If the sequence is a geometric sequence, then its common ratio is expressed as:
r = T₃/T₂ = T₂/T₁
For the given sequence -6, -1, 4, 9... checking for common difference;
d = 9 - 4 = 4- (-1) = -1 -(-6)
d = 5
Since all the differences have the same values in common, hence the sequence is ARITHMETIC and the common DIFFERENCE is 5