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Q: What is the nth term rule of the linear sequence below 7 9 11 13 15 . . .?

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6n-5 is the nth term of this sequence

3n - 7

It is Un = 3n - 7.

The nth term is: 3n+2 and so the next number will be 20

no

Un = 4n - 13.

fsedaz sd

It is not possible to answer the question since a non linear sequence could be geometric, exponential, trigonometric etc.

You need the rule that generates the sequence.

If the sequence is non-linear, you need to establish how it is defined.

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

It is the description of a rule which describes how the terms of a sequence are defined in terms of their position in the sequence.

Un = n + 32

Increase each term by 1.05 and so the next term is 6+1.05 = 7.05

It is a sequence of numbers which is called an arithmetic, or linear, sequence.

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

82

linear function

You first have to figure out some rule for the sequence. This can be quite tricky.

There are infinitely many possible answers. The simplest, linear, rule is Un = 4n - 17 for n = 1, 2, 3, ...

PRIME

It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93

Any iterative sequence.

28

51

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