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
- brainly.com/question/6112033
#LearnwithBrainly
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