Explore BrainMass
Share

Explore BrainMass

    Recursive definitions

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    (See attached file for full problem description)

    ---
    Give a recursive definition of
    a) of the functions max and min so that mx{a1,a2,..an and min {a1,a2,...an} are the maximum and minimum of the n numbers a1,a2,...an respectively
    b) prove that f12+f22+..fn2 = fnfn+1 whenever n is a positive integer fn is the Fibonacci sequence.

    © BrainMass Inc. brainmass.com October 9, 2019, 6:17 pm ad1c9bdddf
    https://brainmass.com/math/optimization/recursive-definitions-84169

    Attachments

    Solution Preview

    Please see the attached file.

    Give a recursive definition of
    a) of the functions max and min so that mx{a1,a2,..an and min {a1,a2,...an} are the maximum and minimum of the n numbers a1,a2,...an respectively

    Let the numbers a1, a2, ... an be stored in an n-size array called numbers.
    Recursive Maximum:
    if (n = = ...

    Solution Summary

    This solution is comprised of a detailed explanation to give a recursive definition.

    $2.19