Mathematics Homework Solutions
Problem
#84169

Recursive definitions

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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.

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Give a recursive definition of

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

prove that f12+f22+..fn2 = fnfn+1 whenever n is a positive integer fn is
the Fibonacci sequence.

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