The Fibonacci sequence is defined by Fi = F = 1 and F. - F-1 for n>2. Show that F, is even if and only if n is a multiple of 3. F₁−2:

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The Fibonacci sequence is defined by Fi - F₂ = 1 and F₁ - FA-1
for n>2. Show that F, is even if and only if n is a multiple of 3.
T
Fn–2:
Transcribed Image Text:The Fibonacci sequence is defined by Fi - F₂ = 1 and F₁ - FA-1 for n>2. Show that F, is even if and only if n is a multiple of 3. T Fn–2:
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