The ratio is 4.
Eight. (8)
The geometric mean of 12 and 16 is 13.8564064606
The geometric mean of 10 and 12 is: 10.9544511501
The Geometric Mean of 12 and 27 is 18.0
The geometric mean of 3 an 48 is 12 [√(3 x 48) = √144 = 12]
To find the common ratio of a geometric sequence, we divide each term by its preceding term. However, the sequence provided (12, -14, 18, -116) does not exhibit a consistent ratio, as the ratios between consecutive terms are -14/12, 18/-14, and -116/18, which are not equal. Therefore, this sequence is not geometric and does not have a common ratio.
A geometric sequence is a sequence where each term is a constant multiple of the preceding term. This constant multiplying factor is called the common ratio and may have any real value. If the common ratio is greater than 0 but less than 1 then this produces a descending geometric sequence. EXAMPLE : Consider the sequence : 12, 6, 3, 1.5, 0.75, 0.375,...... Each term is half the preceding term. The common ratio is therefore ½ The sequence can be written 12, 12(½), 12(½)2, 12(½)3, 12(½)4, 12(½)5,.....
36
No, geometric, common ratio 2
Yes, that's what a geometric sequence is about.
A common ratio sequence, or geometric sequence, is defined by multiplying each term by a fixed number, known as the common ratio. If the first term of the sequence is 3 and the common ratio is, for example, 2, the sequence would be 3, 6, 12, 24, and so on. If the common ratio were instead 1/2, the sequence would be 3, 1.5, 0.75, 0.375, etc. Essentially, the sequence can vary widely based on the chosen common ratio.
The common ratio is 2.
The sequence 216 12 23 is neither arithmetic nor geometric.
12 × ratio = -18 → ratio = -18/12 = -3/2 = -1.5 Checking: -18 × ratio = -18 × -3/2 = 27 as required The common ratio is -3/2 (or -1.5)
Because 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24, the common ration of the sequence is 2. If we are given the fact that the sequence does have a common ratio, the answer can be found by simply taking 6/3 = 2.
Eight. (8)
It is neither.