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
"Non-linear sequence" is a generic term for just about ANY sequence, each of which will have a different equation.
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
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.
linear function