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

Published on 12 May 2024 09:40 PM
#Liberty basic

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

Source code in the liberty programming language

for i = 1 to 10
    a = a + i
next
ArithmeticMean = a/10

b = 1
for i = 1 to 10
    b = b * i
next
GeometricMean = b ^ (1/10)

for i = 1 to 10
    c = c + (1/i)
next
HarmonicMean = 10/c

print "ArithmeticMean: ";ArithmeticMean
print "Geometric Mean: ";GeometricMean
print "Harmonic Mean: ";HarmonicMean

if (ArithmeticMean>=GeometricMean) and (GeometricMean>=HarmonicMean) then
print "True"
else
print "False"
end if

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