- #1
Link
- 134
- 1
What is wrong with this proof? There seems to be a missing link at the n^4 term, even though values of n up to 134 are true!
http://www.geocities.com/jake_lloyd007/ind.jpg
http://www.geocities.com/jake_lloyd007/ind.jpg
The phrase "Proof Error: Missing Link at n^4 Term" indicates that there is an error in the proof of a mathematical statement, specifically at the n^4 term. This means that there is a mistake in the reasoning or calculation that leads to the incorrect conclusion at the fourth power of n.
A proof in mathematics is a logical argument that demonstrates the validity of a mathematical statement or theorem. It is a step-by-step process that shows how the given assumptions and definitions lead to the desired conclusion.
A missing link in a proof refers to a step or piece of information that is necessary to complete the logical argument and support the conclusion, but has been omitted or overlooked. This can result in an incorrect proof or an incomplete proof.
A proof error can be identified by carefully examining each step of the proof and checking for any mistakes in logic or calculation. It is also helpful to try to find a counterexample, or a specific case that does not follow the given proof, to identify where the error may be.
A proof error can have significant consequences in mathematics, as it can lead to incorrect conclusions and potentially impact other areas of mathematics that rely on the faulty proof. It is important to identify and correct proof errors to ensure the accuracy of mathematical statements and theories.