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The problem is: Consider the Fibonacci-like sequence $5,5,10,15,25,40, \ldots$ and let $A_N$ denote the $N$th term of the sequence.

The questions are:

  1. Find $A_{10}$
  2. Given that $F_{25} = 75,025$, find $A_{25}$.

And now the question that is confusing me:

  1. Express $A_N$ in terms of $F_N$
HallaSurvivor
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  • How did you do part 2? Did you use the fact that $F_{25}=75025,$ or did you ignore that piece of information and just work out the next $15$ terms of the sequence after $A_{10}$? – David K Oct 16 '21 at 03:40
  • I ignored that and just worked out the numbers after A10 yeah. – Abigail Cezar Oct 16 '21 at 03:49

1 Answers1

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Hint :

Try multiplying each term of the original Fibonacci sequence, $F_N$,

$$ 1, 1, 2, 3, 5, 8, 13, \ldots $$

by $5$ and compare with $A_N$.

MyMolecules
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