403941 403941
  • 06-07-2022
  • Mathematics
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What is the recursive formula for this geometric sequence? -3. -21, -147, -1029, …

Respuesta :

jimrgrant1 jimrgrant1
  • 06-07-2022

Answer:

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

Step-by-step explanation:

A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r

For this sequence

r =  [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is

[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]

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