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Second-Order Recurrences with Nonconsecutive Initial Conditions

Vincent J. Matsko
The College Mathematics Journal
Vol. 45, No. 1 (January 2014), pp. 41-49
DOI: 10.4169/college.math.j.45.1.041
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.1.041
Page Count: 9
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Second-Order Recurrences with Nonconsecutive Initial Conditions
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Abstract

Summary When consecutive initial conditions for second-order linear homogeneous recurrence relations with constant coefficients are given, the resulting sequence is uniquely determined. However, if the initial conditions are not consecutive, it may be the case that no sequence is possible, or that infinitely many sequences satisfy the recurrence.

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