The answer depends on what information you have.
If you know the first number, a, and the common difference d, (where d is negative), then the nth term is
a + (n - 1)*d : exactly the same as in an increasing linear sequence. The only difference is that d is negative instead of positive.
If the sequence is non-linear, you need to establish how it is defined.
It depends on how the sequence is defined. Whether it is increasing, decreasing, oscillating or whatever is not relevant.
no
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
Whether the sequence is increasing or decreasing makes no difference. The only difference is that the common difference d will be a negative number.
If the sequence is non-linear, you need to establish how it is defined.
It depends on how the sequence is defined. Whether it is increasing, decreasing, oscillating or whatever is not relevant.
It is a sequence of numbers which is called an arithmetic, or linear, sequence.
no
6n-5 is the nth term of this sequence
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
There is no set equation for finding the nth term of a non- linear sequence. You have to go through a procedure to find the equation suitable for your given sequence. You would have to post the equation itself or re phrase your question for the answer.
It is not possible to explain because you have not specified the nature of the sequence. A sequence can be an arithmetic, or geometric progression, increasing or decreasing. Or it can be a polynomial or power progression, again increasing or decreasing. Or it can be a sequence of random numbers.