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.”

Sagot :

MissSpanish

Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

  • Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

  • We simplify the fractions:

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.

MissSpanish

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