Absolute value for a sequence.

Thread starter retspool
Start date Nov 14, 2010
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Absolute Absolute value Sequence Value

In summary, the absolute value for a sequence is the magnitude or distance of each term in the sequence from zero on the number line. It is calculated by taking the absolute value of each term and summing them together. Absolute value for a sequence is important in various mathematical and scientific applications. It is always a non-negative value and is similar to the concept of absolute value in mathematics, but applies to a sequence of numbers rather than a single number.

Nov 14, 2010

retspool

Hey.

I have
| tn - t | < M

How can i show that

t - M < tn

thanks

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Nov 14, 2010

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-M < tn -t < M

Nov 14, 2010

retspool

Thanks!

1. What is the definition of absolute value for a sequence?

The absolute value for a sequence is the magnitude or distance of each term in the sequence from zero on the number line. It is represented by the symbol "|" and is always a non-negative value.

2. How is absolute value for a sequence calculated?

To calculate the absolute value for a sequence, simply take the absolute value of each term in the sequence. This means removing any negative signs and keeping the positive value of the term. Then, sum all the absolute values of the terms in the sequence to get the final absolute value.

3. Why is absolute value for a sequence important?

Absolute value for a sequence is important because it allows us to measure the magnitude or distance of each term from zero, regardless of whether the terms are positive or negative. This can be useful in various mathematical and scientific applications, such as calculating error margins or distances in physics.

4. Can absolute value for a sequence be negative?

No, absolute value for a sequence is always a non-negative value. This means it can never be negative, as the absolute value is the positive distance of a term from zero on the number line.

5. How is absolute value for a sequence related to the concept of absolute value in mathematics?

The concept of absolute value for a sequence is similar to the concept of absolute value in mathematics. Both involve taking the positive value of a number, regardless of its sign. However, absolute value for a sequence applies to a sequence of numbers, while absolute value in mathematics applies to a single number.