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

Published on 12 May 2024 09:40 PM

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

Source code in the rust programming language

fn main() {
    let mut sum = 0.0;
    let mut prod = 1;
    let mut recsum = 0.0;
    for i in 1..11{
        sum += i as f32;
        prod *= i;
        recsum += 1.0/(i as f32);
    } 
    let avg = sum/10.0;
    let gmean = (prod as f32).powf(0.1);
    let hmean = 10.0/recsum;
    println!("Average: {}, Geometric mean: {}, Harmonic mean: {}", avg, gmean, hmean);
    assert!( ( (avg >= gmean) && (gmean >= hmean) ), "Incorrect calculation");

}


  

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