Which sequence isn’t a geometric progression?
Answers
A geometric progression has a common ratio which is equal throughout the series. The common ratio can be found by dividing a term with its ...
Answer:
The series that isn't a geometric equation in the choices given is
3, 6 , 9 , 12
Explanation:
A geometric progression, also known as a geometric sequence is a series of numbers where each term after the first one can be determined by multiplying the previous number by a fixed, constant, non-zero number, known as the common ration.
Geometric progression can also be described as a series where each term when divided by the previous number gives a constant non-zero figure.
Meaning in a series; n, n₁, n₂, n₃, n₄, n₅....
n₁/n = n₂/n₁ = n₃/n₂ .....and so on
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We can look at some choices like in the image attached to find which among them is not a geometric progression:
a) 2,6,18,54
b) 4,8,16,32
c) 1, 5, 25, 125
d) 3,6,9,12
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Calculations:
a) 2,6,18,54
6/2 = 3 , 18/6 = 3 , 54/18 = 3
Therefore this series is a geometric progression with a common ratio of 3
b) 4,8,16,32
8/4 = 2 , 16/8 = 2, 32/16 = 2
This is a geometric progression with a common ratio of 2
c) 1, 5, 25, 125
5/1 = 5 , 25/5 = 5 , 125/25 = 5
This is a geometric progression with common ratio of 5
d) 3,6,9,12
6/3 = 2 , 9/6 = 3/2 , 12/9 = 4/3
Therefore this series is not a geometric progression
