Natalia is writing a recursive formula to represent the sequence. 8, 12, 18, 27, ... What value should she use as the common ratio in the formula?

Respuesta :

Natalia should use 3/2 as common ratio

Step-by-step explanation:

Common ratio is the ratio between consecutive terms of a geometric sequence

It is denoted by r

Given sequence is:

8, 12, 18, 27, ...

Here

[tex]a_1 = 8\\a_2 = 12\\a_3 = 18\\a_4 = 27[/tex]

So,

[tex]r = \frac{a_2}{a_1} = \frac{12}{8} = \frac{3}{2}\\r = \frac{a_3}{a_2} = \frac{18}{12} = \frac{3}{2}\\r = \frac{a_4}{a_3} = \frac{27}{18} = \frac{3}{2}[/tex]

Hence,

Natalia should use 3/2 as common ratio

Keywords: geometric sequence, Common ratio

Learn more about common ratio at:

  • brainly.com/question/6166224
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The common ratio in the formula is 1.5

Common ratio

Given the sequence 8, 12, 18, 27, ...

The common ratio is the ratio of the succeeding to the preceding term:

  • r = a2/a1 = a3/a2

Given the following

a1 = 8

a2 = 12

a3 = 18

Get the common ratio

r = 12/8 = 18/12  =1.5

Hence the common ratio in the formula is 1.5

Learn more on common ratio here: https://brainly.com/question/1509142