How to resolve the algorithm Averages/Pythagorean means step by step in the PureBasic programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Averages/Pythagorean means step by step in the PureBasic programming language

Table of Contents

Problem Statement

Compute all three of the Pythagorean means of the set of integers 1 through 10 (inclusive). Show that

A (

x

1

, … ,

x

n

) ≥ G (

x

1

, … ,

x

n

) ≥ H (

x

1

, … ,

x

n

)

{\displaystyle A(x_{1},\ldots ,x_{n})\geq G(x_{1},\ldots ,x_{n})\geq H(x_{1},\ldots ,x_{n})}

for this set of positive integers.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Averages/Pythagorean means step by step in the PureBasic programming language

Source code in the purebasic programming language

Procedure.d ArithmeticMean()
  For a = 1 To 10
    mean + a
  Next
  ProcedureReturn mean / 10
EndProcedure
Procedure.d GeometricMean()
  mean = 1
  For a = 1 To 10
    mean * a
  Next
  ProcedureReturn Pow(mean, 1 / 10)
EndProcedure
Procedure.d HarmonicMean()
  For a = 1 To 10
    mean.d + 1 / a
  Next
  ProcedureReturn 10 / mean
EndProcedure

If HarmonicMean() <= GeometricMean() And GeometricMean() <= ArithmeticMean()
  Debug "true"
EndIf
Debug ArithmeticMean()
Debug GeometricMean()
Debug HarmonicMean()

  

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