9514 1404 393
Answer:
- geometric
- arithmetic
- neither (Fibonacci sequence)
Explanation:
If ratios are the same, it is geometric:
8/4 = 16/8 = ... = 2
If differences are the same, it is arithmetic:
-4-(-8) = 0 -(-4) = ... = 4
If neither is the case, it is neither:
3-2 ≠ 5 -3
3/2 ≠ 5/3
In this last sequence we see that differences equal the previous term. This is characteristic of the Fibonacci sequence, which sees wide use in Nature, and has a relationship to the Golden Ratio. (The ratios of successive terms approach the golden ratio (1+√5)/2 ≈ 1.618.)