# Given a sequence with #a_1 = 2# and #a_3 = 6#, for what value of #n# is #a_n = 58# ?

If this is an arithmetic sequence then

We receive:

In the event that this is an arithmetic sequence, the following formula provides the general term:

Next, we discover:

Then:

Is it any other kind of sequence?

It might be an odd variation of double Lucas sequence.

Thus, we could draft regulations:

This would provide the following order:

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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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