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December 4th, 2011, 02:48 PM   #1
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formula remains true Fibonacci sequence

Hello!

Fn+4 + Fn = 3Fn+2
for n = 0,1,2, . . .

Would the formula, necessarily remain true if the
sequence Fn is replaced by a sequence with the same recurrence
relation as the Fibonacci sequence but different initial terms?
Justify your answer briefly.

any ideas? thanks
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December 4th, 2011, 03:04 PM   #2
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Re: formula remains true Fibonacci sequence

Yes, the derivation of the given formula relies solely on the recurrence definition.
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