Look at the following sequence. 54, 36, 24, 16, . . . If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose “not geometric.”

Question

asked Apr 13, 2023 194k views

1 Answer

John Mark Mitchell · Answer 1 · 2023-04-18T18:29:30+0000

Answer:

$r \: = \: \boxed{ \bold{(2)/(3) }}$

Explanation:

Calculate the ratio of the progression by dividing a term of it by the immediately preceding one.

$r \: = \: (36)/(54) \\ \\ r \: = \: (24)/(36) \\ \\ r \: = \: (16)/(24)$

$r \: = \: (2)/(3) \\ \\ r \: = \: (2)/(3) \\ \\ r \: = \: (2)/(3)$

Since the ratio is the same, that is the common ratio.