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Consider the third order difference equation a n +3 = a n +2 + a n +1 + a n where a 0 = a
Consider the third order difference equation
an+3= an+2+ an+1+ an
where
a0= a1= 0 and a2 = 1.
What is the limit
lim +1/
That is, asn increases without bound, what does this ratio of consecutive terms approach? Nearest 0.01.
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