Question

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? write the answer as a decimal rounded to the tenths place.

Answer 1

This is a geometric sequence: $a_{n} = a_{1} * r ^{n-1}$
a  = 8,   a2 = 12,    a3 = 18,    a4 = 27,...
12 = r · 8       ⇒   r = 12 : 8 = 1.5
 r = 1.5.  We can justify it:
 18 = 8 · 1.5² = 8 · 2.25    ( true )
 27 = 8 · 1.5³ =  8 · 3.375 ( true ) 

Answer 2

Answer:

c. 3/2

Step-by-step explanation: