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How to get the sum of all powers of a number in JavaScript?

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Aug 24, 2023 pm 12:05 PM

How to get the sum of all powers of a number in JavaScript?

In this tutorial, we'll be discussing how to get the sum of the powers of all the numbers from start to end in JavaScript. We'll be using the built-in Math.pow() method to calculate the powers and the Array reduce() method to sum up the values.

Using the Math.pow() method

The Math .pow() method allows us to calculate the power of a number. We can use this method to calculate the powers of all the numbers from start to end.

Syntax

Math.pow(base, exponent) ;

parameter

Base − Base number.
Exponents − The exponent to which the base is to be raised.

Example

For example, if we want to calculate the sum of all the numbers raised to the power of 2 from 1 to 4, we can use the following code to achieve it-

<html>
<head>
   <title>Examples</title>
</head>
<body>
   <div id="result"></div>
   <script>
      var sum = 0;
      for(var i=1; i<=4; i++) {
          sum += Math.pow(i, 2);
      }
      document.getElementById("result").innerHTML = sum;
   </script>
</body>
</html>

In the above code, we first create a variable named sum and initialize it to 0. Then we use a for loop to iterate through all the numbers from 1 to 4. For each number, we calculate its power and add it to the sum. Finally, we print out sum.

Use the Array.reduce() method

Another way to get the sum of the powers of all numbers from start to end is to use the Array.reduce() method.

The Array.reduce() method allows us to reduce an array to a single value. We can use this method to sum the values of an array.

Example

For example, if we want to get the sum of all the numbers raised to the 3rd power from 1 to 4, we can use the following code:

<html>
<head>
   <title>Example: Using the Array.reduce() method </title>
</head>
<body>
   <div id="result"></div>
   <script>
      var numbers = [1, 2, 3, 4];
      var sum = numbers.reduce(function(a, b) {
         return a + Math.pow(b, 3);
      }, 0);
      document.getElementById("result").innerHTML = sum;
   </script>
</body>
</html>

In the above In the code, we first create an array named numbers, which contains all numbers from 1 to 4. We then use the Array.reduce() method to calculate the sum of these values. The function we pass to the Array.reduce() method calculates each number raised to the power of 3 and adds it to the sum. Finally, we print out the sum.

Using ES6 Arrow Functions -

We can also use ES6 arrow functions to get the sum of the powers of all numbers from start to end.

Example

For example, if we want to get the sum of the powers of all numbers from 1 to 4, we can use the following code-

<html>
<head>
   <title>Example: Using the ES6 arrow function</title>
</head>
<body>
   <div id="result"></div>
   <script>
      var numbers = [1, 2, 3, 4];
      var sum = numbers.reduce((a, b) => a + Math.pow(b, 2), 0);
      document.getElementById("result").innerHTML = sum      
   </script>
</body>
</html>

In the above code , we first create an array called numbers, which contains all numbers from 1 to 4. We then use the Array.reduce() method to calculate the sum of these values. The arrow function we pass to the Array.reduce() method calculates the power of each number and adds it to the sum. Finally, we print out the sum.

Conclusion

In this article, we discussed how to get the sum of the powers of all numbers from start to end in JavaScript. We used the built-in Math.pow() method to calculate powers and the Array.reduce() method to calculate the sum of these values.

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