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Q: How do you write the Nth term in the sequence 2 4 8 16?

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The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.

16

6n+10

n2

Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...

Please note that (a) this is a sequence of square numbes, and (b) the sequence starts at 22.

Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.

The nth term in the sequence means an unspecified number an unspecified distance along the series. 8 16 32 64 128... n. It is also a shothand notation so the reader knows that the sequence continues.

Formula for nth termTn = a + (4n - 1) {where a is the first term and n is natural number}

Un = 29 - 9n

Tn = 1 + 3n

8 + 4n

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