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	1+4+9+16+...n^2 = n(n+1)(2n+1)/6		2000-06-01
		From Shamus O'Toole: How do you derive that for the series 1+4+9+16+25.. that S(n)=(n(n+1)(2n+1))/6 Answered by Penny Nom.
	Induction		2000-03-16
		From William Tsang: I am trying to prove a induction question Sigam r=1 n (2r -1)cube = n square (2 n square - 1) Answered by Harley Weston.
	Mathematical deduction and mathematical induction		2000-03-07
		From Espera Pax: What are mathematical deduction and mathematical induction, and what is the difference between them? Answered by Harley Weston.
	Logic and mathematical logic		1999-10-06
		From Polly Mackenzie: What is the difference between logic and math logic? Answered by Walter Whiteley.
	Mathematical Induction and the Derivative		1997-03-18
		From Shuling Chong: "Obtain a formula for the nth derivative of the product of two functions, and prove the formula by induction on n." Any educated tries are appreciated. Answered by Penny Nom.
	The angles in a polygon		2007-10-11
		From Farzan: Prove with induction that in a polygon( that may not be convex ) with n sides, the sum of the amounts of the angles become 180(n-2). If there is any easier methods to prove the problem, please write as well. Answered by Stephen La Rocque.
	Induction - divisibility		2007-08-04
		From Jerry: How would you prove that for any positive integer n, the value of the expression 3^(2n+2) - 8n -9 is divisible by 64. Answered by Chris Fisher and Penny Nom.
	A proof by contraposition		2006-03-16
		From Eban: 1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k. 2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd. Answered by Stephen La Rocque.
	Harmonic numbers		2003-03-19
		From Becky: Harmonic numbers are Hn = 1 + ? + 1/3 + . . . + 1/n Use induction to prove the following theorem: For all natural numbers n, H1 + H2 + . . . + Hn = (1+n)Hn - n Answered by Penny Nom.
	The sum of the cubes is the square of the sum		2000-10-10
		From Otoniel: Without using mathematical induction, or any other method discovered after 1010 a.d. , prove that the sum of i3, (where i, is the index of summation) from one to, n, is equal to ((n*(n+1))/2)2 Answered by Penny Nom.

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