123456789072 123456789072
  • 02-05-2019
  • Mathematics
contestada

what is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

a) 1
b) 2
c) 3
d) 4​

Respuesta :

jimrgrant1 jimrgrant1
  • 02-05-2019

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

[tex]\frac{ar^3}{ar}[/tex] = [tex]\frac{54}{6}[/tex] = 9

r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3 → C

Answer Link
bballfan230537
bballfan230537 bballfan230537
  • 02-05-2019

The answer would be C.

Answer Link

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