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.
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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.