**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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