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    Fibonacci recurrence

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    Prove that the Fibonacci sequence can be obtained by the recurrence relationship.
    See attached file for full problem description.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:16 pm ad1c9bdddf
    https://brainmass.com/math/recurrence-relation/mathematical-induction-fibonacci-recurrence-10324

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    Please see the attached file.

    This can be easily proved by Mathematical Induction:

    We show that the recurrence relationship holds for n = 2 and n=3 by direct substitution:
    At n =1 , G(1) =
    At n = 2, G(2) = = a + b = 1 (plugging ...

    Solution Summary

    The expert proves the Fibonacci sequence by the recurrence relationship. Mathematical induction is analyzed.

    $2.19

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