MRB constant

High school (ages 12+)
Mathematics & Numbers

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Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/mrb-constant

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. Who discovered MRB constant?1999
2. How long is MRB constant?1
3. What is the discoverer?Marvin Ray Burns
4. What is the decimal expansion?0.187859
5. How did Marvin Ray Burns discover the MRB constant?Burns studied a series that adds and subtracts numbers like k raised to the power of 1/k. By looking at the sums as more terms were added, he noticed the sums oscillate and found the largest limit they approach.
6. Why is the MRB constant called an upper limit?In the series, the partial sums go up and down. The MRB constant is the biggest value the sums get to, so it is called the upper limit.

Alternating Series: A series where the terms alternate in sign, such as + - + - ...
Partial Sum: The sum of the first 'n' terms of an infinite series.
Convergence: The property of a sequence or series where its terms approach a specific finite value.
Divergent Series: A series whose partial sums do not approach a finite limit.