Saturday, April 26, 2014

MathNotations Math Induction Challenge


Correction/Update: n is a positive integer

CHALLENGE
If a,b,c are the sides of a right triangle, c>a, c>b
prove by Mathematical Induction that
a^n + b^n < c^n, for n> 2


Submit detailed solution using the new contact form in the sidebar no later than Mon 5-28-14 11:59 pm EDT.

If your solution is too long for the contact form, indicate that that and I will contact you.

IMPORTANT NOTES:
1)Include your full name and state.
2)If you are a student, pls indicate grade level (or if in an Undergrad or Grad program).
3) If an educator,  pls indicate elementary,  middle, secondary or college.



The 3 best solutions will receive a free emailed copy of my Math Challenge Quiz Book and, of course,  recognition on this blog.

Note: If you feel there is an error in the problem or if the new contact form is not working, pls leave a comment. 

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