Prove that L_n = L_(n - 1) + L_(n - 2)
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The Lucas numbers L_n are defined by the equations L_1 = 1 and L_n = F_(n+1) + F_(n-1) for each n > or = 2
Prove that L_n = L_(n-1) + L_(n-2) (n > or = 3)
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Solution Summary
This solution is comprised of a detailed explanation of the Lucas numbers Ln . It contains step-by-step explanation of the
the Lucas numbers L_n defined by the equations L_1 = 1 and L_n = F_(n+1) + F_(n-1) for each n > or = 2 and prove of the
equation
L_n = L_(n-1) + L_(n-2) (n > or = 3).
Education
- BSc, Manipur University
- MSc, Kanpur University
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