No. An 'arithmetic' sequence is defined as one with a common difference.
A sequence with a common ratio is a geometricone.
A sequence can be both arithmetic and geometric if it consists of constant values. For example, the sequence where every term is the same number (e.g., 2, 2, 2, 2) is arithmetic because the difference between consecutive terms is zero, and it is geometric because the ratio of consecutive terms is also one. In such cases, the sequence meets the criteria for both types, as both the common difference and the common ratio are consistent.
The term "common ratio" typically refers to the ratio between consecutive terms in a geometric sequence. However, -1148 by itself does not provide enough context to determine a common ratio, as it is a single number rather than a sequence. If you have a specific geometric sequence in mind, please provide the terms, and I can help you find the common ratio.
That's an arithmetic sequence.
From the information given, all that can be said is that it will be a negative number.
To find the common difference in this arithmetic sequence, we need to identify the differences between consecutive terms. The terms given are 3x, 9y, 6x, 5y, 9x, y, 12x-3y, and 15x-7. Calculating the differences, we find that the common difference is not consistent across the terms, indicating that this sequence does not represent a proper arithmetic sequence. Therefore, there is no single common difference.
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
arithmetic sequence
A sequence can be both arithmetic and geometric if it consists of constant values. For example, the sequence where every term is the same number (e.g., 2, 2, 2, 2) is arithmetic because the difference between consecutive terms is zero, and it is geometric because the ratio of consecutive terms is also one. In such cases, the sequence meets the criteria for both types, as both the common difference and the common ratio are consistent.
An arithmetic sequence.
A harmonic sequence is a sequence of numbers in which the reciprocal of each term forms an arithmetic progression. In other words, the ratio between consecutive terms is constant when the reciprocals of the terms are taken. It is the equivalent of an arithmetic progression in terms of reciprocals.
The term "common ratio" typically refers to the ratio between consecutive terms in a geometric sequence. However, -1148 by itself does not provide enough context to determine a common ratio, as it is a single number rather than a sequence. If you have a specific geometric sequence in mind, please provide the terms, and I can help you find the common ratio.
A static sequence: for example a geometric sequence with common ratio = 1.
That's an arithmetic sequence.
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
From the information given, all that can be said is that it will be a negative number.
To find the common difference in this arithmetic sequence, we need to identify the differences between consecutive terms. The terms given are 3x, 9y, 6x, 5y, 9x, y, 12x-3y, and 15x-7. Calculating the differences, we find that the common difference is not consistent across the terms, indicating that this sequence does not represent a proper arithmetic sequence. Therefore, there is no single common difference.
The nth term of an arithmetic sequence = a + [(n - 1) X d]