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Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is descending geometric sequence?
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,.....
Is 20 12 62 a geometric or arithmetic sequence?
It is neither.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
What is the 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
Which explains why the sequence 216 12 23 is arithmetic or geometric?
The sequence 216 12 23 is neither arithmetic nor geometric.
What is descending geometric sequence?
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,.....
What is the common ratio for the following sequence 12 -14 18 -116?
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.
Is 20 12 62 a geometric or arithmetic sequence?
It is neither.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
What is the common ratio in this geometric sequence 3 12 48?
The ratio is 4.
What is the 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
Is 3 6 12 24 48 an arithmetic sequence?
No, geometric, common ratio 2
Is the sequence 2 3 5 8 12 arithmetic or geometric?
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.
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What is the eighth term of the geometric sequence 3, 12, 48, 192, ... ?
What is the sum of the geometric sequence 4 12 36 if there are 9 terms?
Un = 4*3n-1 S9 = 39364
