Answer:
3, 6, 9, 12 is not geometric
Step-by-step explanation:
A geometric progression has a common ratio r between consecutive terms.
3, 6, 9 , 12
has a common difference of 3 between terms and is arithmetic
1, 5, 25, 125
r = 5 ÷ 1 = 25 ÷ 5 = 125 ÷ 25 = 5 ← geometric
4, 8, 16, 32
r = 8 ÷ 4 = 16 ÷ 8 = 32 ÷ 16 = 2 ← geometric
2, 6, 18, 54
r = 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3 ← geometric
Answer:
3, 6, 9, 12 would not be a geometric sequence.
Step-by-step explanation:
The reason for this is because, geometric sequence is multiplication or division while arithmetic is addition and subtraction.
1, 5, 25, 125 is multiplication. x5
4, 8, 16, 32 is multiplication as well. x2
2, 6, 18, 54 is multiplication as well. x3
While 3, 6, 9, 12 would be +3.
Therefore, 3,6, 9, 12 would not be a geometric sequence.