Answered

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Look at the following sequence.
54, 36, 24, 16, ...
If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not geometric."
8
1.5
0.67

Sagot :

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 )

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