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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.

Un = 4n - 13.

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

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6n-5 is the nth term of this sequence

3n - 7

It is Un = 3n - 7.

Un = 4n - 13.

no

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

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

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