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Direct linkSimons, C. S.; Wright, M. – International Journal of Mathematical Education in Science and Technology, 2007
With Simson's 1753 paper as a starting point, the current paper reports investigations of Simson's identity (also known as Cassini's) for the Fibonacci sequence as a means to explore some fundamental ideas about recursion. Simple algebraic operations allow one to reduce the standard linear Fibonacci recursion to the nonlinear Simon's recursion…
Descriptors: Mathematical Concepts, Mathematics Education, Algebra, Mathematical Applications
