
Divide both the numerator and denominator by 9 to get;

Convert the improper fraction to a mixed number;
Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.
Answer:
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence
H= ut -16 t^2
h = 144(2) - 16 (4)
= 288 - 64 = 224