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

Question

ankoles [38]

4 years ago

11

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

io in the formula?

Mathematics

2 answers:

Ivenika [448] · Answer 1 · 2022-02-09T10:57:17+03:00

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

$a_1 = 8\\a_2 = 12\\a_3 = 18\\a_4 = 27$

So,

$r = \frac{a_2}{a_1} = \frac{12}{8} = \frac{3}{2}\\r = \frac{a_3}{a_2} = \frac{18}{12} = \frac{3}{2}\\r = \frac{a_4}{a_3} = \frac{27}{18} = \frac{3}{2}$

Hence,

Natalia should use 3/2 as common ratio

Keywords: geometric sequence, Common ratio

Learn more about common ratio at:

#LearnwithBrainly

Lelu [443] · Answer 2 · 2022-02-09T12:05:48+03:00

Lelu [443]4 years ago

6 0

Answer:

The answer is C

Step-by-step explanation: