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Direct linkCarley, Holly – Australian Senior Mathematics Journal, 2014
Usually a student learns to solve a system of linear equations in two ways: "substitution" and "elimination." While the two methods will of course lead to the same answer they are considered different because the thinking process is different. In this paper the author solves a system in these two ways to demonstrate the…
Descriptors: Equations (Mathematics), Matrices, Mathematics, Mathematics Instruction
Gauthier, N. – International Journal of Mathematical Education in Science & Technology, 2006
This note describes a method for evaluating the sums of the m -th powers of n consecutive terms of a general arithmetic sequence: { S[subscript m] = 0, 1, 2,...}. The method is based on the use of a differential operator that is repeatedly applied to a generating function. A known linear recurrence is then obtained and the m-th sum, S[subscript…
Descriptors: Arithmetic, Mathematics Education, Numbers, Matrices
