"One of my questions is how do I express the fact that the answer is a even number mathematically?" Let n = 2k
Hi!
I have a assignment involving the fibonacci sequence, and I wonder if anyone could give me a hand with it:
The fibonacci sequence is given as:
Using induction, prove that is a even number for all
I have been struggeling with this for some days now. One of my questions is how do I express the fact that the answer is a even number mathematically? Do I even need to?
Any help would be much appreciated!
Martin
With
the pattern is for n=0, 1, 2, 3, 4....
Since the first 2 terms are even and odd, we never encounter two successive even numbers in the Fibonacci sequence.
The Fibonacci sequence pattern is EOOEOOEOOEOOEOO starting at
P(k)
P(k+1)
Proof
every Even term is followed by 2 Odd terms, hence is the 3rd term after
and so it is Even if is Even.