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Answer:
geometric sequence
Step-by-step explanation:
If the sequence is geometric then there is a common ratio r between consecutive terms.
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{36}{54}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{24}{36}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex] ( ≈ 0.67 )