The sequence < un > is defined by the recurrence un+1 = 3un+1\5un+3 initial condition of u1 = 1: need to show un in terms of fibonacci / lucas numbers

Sorry but your notation is ambiguous 

Is it U(n+1) = (3U(n) + 1)/(5U(n) + 3) 

or U(n+1) = (3U(n) + 1)/(5U(n)) + 3 

or U(n+1) = 3U(n) + (1/5U(n)) + 3 

or U(n+1) = 3U(n) + (1/5)U(n) + 3? 

If so, what do you wish us to do with this sequence?

I hope my answer has come to your help. Thank you for posting your question here in . We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

I’ve tried and doesn’t let me either

Answer26.9%;