InkyDrops
InkyDrops InkyDrops
  • 23-09-2020
  • Mathematics
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Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?

Which of the following is the rule for the geometric sequence 1 3 9 27 class=

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Happil
Happil Happil
  • 23-09-2020

Answer:

[tex]a(n) = 1 \times {3}^{n - 1} [/tex]

Step-by-step explanation:

  • We started at 1
  • And it seems that index after index it multiplies by 3
  • The formula for the geometric sequence defined implicitly is a(n) =a(1)r^(n-1)

[tex]a(n) = a(1) {r}^{n - 1} \\ a(n) = 1 \times {3}^{n - 1} [/tex]

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