Question

Three geometric sequences are given below.

Sequence A: 160, 40, 10, 2.5, ...
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27, ...
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B

Answer 1

B, A, C

Explanation:

Calculating the common ratio for each sequence

A → r =
`(40)/(160)` =
`(1)/(4)` = 0.25

B → r =
`(63)/(-21)` = - 3

C → r =
`(12)/(8)` = 1.5

B, A, C ← from least to greatest common ratio