How would I go about proving the following sequence using induction on $k$?
$2F_{2n+k} = F_{n+k}L_n + F_nL_{n+k}$
I know I have to show that it's true for $k = 1$, but I can't even seem to be able to do that.
2025-01-13 05:29:39.1736746179
Proofs with Fibonacci and Lucas numbers via induction
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