# How do you find the nth term of the sequence #1, 1 1/2, 1 3/4, 1 7/8, ...#?

It may be easier to convert to improper fractions.

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To find the nth term of the sequence, you can observe that each term is obtained by adding 1 to the previous term and then halving the result. The first term is 1. The second term is 1 + 1 = 2, halved to get 1 1/2. The third term is 1 1/2 + 1 = 2 1/2, halved to get 1 3/4. The pattern continues in the same manner. Therefore, the nth term of the sequence can be expressed as ( 1 + \frac{1}{2^n} ).

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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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