# How do you find the nth term of the sequence #2, 4, 16, 256, ...#?

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It could be

Given:

It seems that each element of the sequence is the square of the preceding one, since:

This would result in the formula:

For example, it can be matched with a cubic formula:

Then it would not follow the squaring pattern, but would continue:

We could choose any following numbers we like and find a formula that matches them.

No infinite sequence is determined purely by its first few terms.

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To find the nth term of the sequence 2, 4, 16, 256, ..., you can observe that each term is obtained by raising 2 to the power of the previous term. Therefore, the nth term can be expressed as (2^{2^{n-1}}).

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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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