kimberlyhovestadt kimberlyhovestadt
  • 30-05-2020
  • Mathematics
contestada

Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....
c (1) = ???
c (n) = c(n-1) times ????

Respuesta :

jimrgrant1 jimrgrant1
  • 30-05-2020

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = [tex]\frac{200}{500}[/tex] = [tex]\frac{2}{5}[/tex] = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

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