Question: The Ath Lucas number is defined as (a) Explain why the Lucas numbers satisfy the Fibonacci iterative equation L(k+2) = L(k+1) + L(k) (b) Write

The Ath Lucas number is defined as

(a) Explain why the Lucas numbers satisfy the Fibonacci iterative equation L(k+2) = L(k+1) + L(k)
(b) Write down the first 7 Lucas numbers.
(c) Prove that every Lucas number is a positive integer.

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