# How do you write the nth term rule for the sequence #1/2,3,11/2,8,21/2,...#?

First decide whether it is an AP or GP. Subtract consecutive terms.

There is the same difference, so it is an AP.

We have the first term, and d. Sub into the general term.

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The nth term rule for the sequence ( \frac{1}{2}, 3, \frac{11}{2}, 8, \frac{21}{2}, \ldots ) can be written as:

[ a_n = \frac{n^2 + 1}{2} ]

where ( a_n ) represents the nth term of the sequence.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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