Intermediate Math Problem of the Week 10/5/2017

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  • Thread starter PF PotW Robot
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In summary, the Intermediate Math Problem of the Week for October 5th, 2017 involved finding the greatest common factor (GCF) and least common multiple (LCM) of two numbers. The problem provided two sets of numbers and asked for the GCF and LCM of each set. To find the GCF, the prime factorization method was used, while the LCM was found by using the prime factorization method or the "ladder" method. The solution also discussed the relationship between GCF and LCM and how they are used in simplifying fractions.
  • #1
PF PotW Robot
Here is this week's intermediate math problem of the week. We have several members who will check solutions, but we also welcome the community in general to step in. We also encourage finding different methods to the solution. If one has been found, see if there is another way. Occasionally there will be prizes for extraordinary or clever methods. Spoiler tags are optional.

Evaluate the sum of the alternating series $$\sum\limits_{n = 1}^\infty \frac{(-1)^{n-1}}{n^4}$$

(PotW thanks to our friends at http://www.mathhelpboards.com/)
 
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  • #2
A very interesting problem. Thank you @PotW Tobor :) I basically googled the answer, where a video showed a related problem of how to compute the ratio of the sum of the p-series divided by the alternating p-series.
 

Related to Intermediate Math Problem of the Week 10/5/2017

1. What is the "Intermediate Math Problem of the Week 10/5/2017"?

The "Intermediate Math Problem of the Week 10/5/2017" is a weekly math problem that is designed for intermediate level students. It was released on October 5, 2017 and is meant to challenge students' critical thinking and problem-solving skills.

2. How difficult is the "Intermediate Math Problem of the Week 10/5/2017"?

The difficulty level of the "Intermediate Math Problem of the Week 10/5/2017" may vary for different students. However, it is designed to be challenging for intermediate level students, so it may require some critical thinking and problem-solving skills to solve.

3. Can I participate in the "Intermediate Math Problem of the Week 10/5/2017" if I am not an intermediate level student?

Yes, the "Intermediate Math Problem of the Week 10/5/2017" is open to all students who are interested in solving challenging math problems. However, it is recommended for intermediate level students as it may be more suitable for their level of understanding.

4. How can I submit my solution for the "Intermediate Math Problem of the Week 10/5/2017"?

You can submit your solution for the "Intermediate Math Problem of the Week 10/5/2017" by following the instructions provided in the problem. This may include submitting your solution through email or through a designated online platform.

5. Is there a prize for solving the "Intermediate Math Problem of the Week 10/5/2017"?

The prize for solving the "Intermediate Math Problem of the Week 10/5/2017" may vary depending on the organization or individual hosting the problem. Some may offer a small prize or recognition for the first correct solution, while others may offer a larger prize for the best overall solution. It is best to check the specific details of the problem for more information on the prize.

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