# What is the pattern in the sequence 100, 19, 83, 34, 70, 45?

or

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If you look at differences of alternate terms, you can find the formula for term n as follows:

Hence

Hence

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The pattern in the given sequence is as follows:

- Subtract 81 from the first number (100) to get the second number (19).
- Add 64 to the second number (19) to get the third number (83).
- Subtract 49 from the third number (83) to get the fourth number (34).
- Add 36 to the fourth number (34) to get the fifth number (70).
- Subtract 25 from the fifth number (70) to get the sixth number (45).

So, the pattern alternates between adding and subtracting consecutive perfect squares: (81, 64, 49, 36, 25).

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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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