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]
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,.....
No, geometric, common ratio 2
36
Yes, that's what a geometric sequence is about.
The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
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.
This is not a geometric series since -18/54 is not the same as -36/12