Overview

Let’s design a RAPTOR flowchart to compute the sum of squares for n integers. The RAPTOR flowchart enables us to create executable flowcharts.

Mathematical Notation

Let’s first understand mathematical notation. The mathematical notation for the sum of squares up to n numbers is as follows:

$\fn_phv \huge Sum of Squares = \sum_{i=1}^{n} i^{2}$

or in simple notation

$\fn_phv \huge Sum = 1^{2} + 2^{2} + 3^{2} + . . . + n^{2}$

Mathematical verification formula:

sum of squares = n(n+1)(2n + 1)/6

$Sum of Squares Math Formula$

Steps to build

The general steps to build the RAPTOR flowchart are as follows:

Launch RAPTOR Flowchart software. A blank flowchart with Start and End symbols would be provided.
Save the flowchart with a .rap file extension name.
Add an Assignment flowchart symbol for Assignment( left-click once on the symbol and then add it between Start and End.)
Initialize the following variables

             i <- 1
            sum <- 0
            series <- ” ”

Add an Input symbol to the flowchart. Double click to add the prompt “Enter number” and use the variable name N.

Sum of squares Raptor Flowchart 1

Loop Structure

Add a Loop statement to the flow chart. ( Steps to add the repetition structure Add Repetition Symbol to Flowchart/ )
Edit the loop expression to

i > N

In the loop structure for NO decision, do the following things:
Add Assignment symbols to the flowchart to the flowchart for sum, series and i

              sum <- sum + ( i* i )
              series <- series + ” ” + ( i*i )
              i <- i + 1

Add an Output symbol to the flowchart to output series

series <- series + ” ” + ( i*i ) statement is to print the series to the output console window.

Sum of squares Loop RAPTOR

Sum of squares

In the loop structure for the YES decision,
Add an Output symbol to the flowchart to output the sum

Once you are done with a flow chart, we can execute the Raptor flow chart by clicking on Execute to completion button.

We can verify the input and output of the flowchart. ( Explore Run menu options for more details).

RAPTOR Flowchart

RAPTOR Flowchart for the sum of squares for N integers is as follows:

Sum of Squares N Integers Raptor Full

Flowchart Verification

The following Test case is designed to verify the flowchart output.

Test Case Scenario	Detailed Steps	Test Data	Expected Result	Actual Result
Find the sum of squares of N integers.	Launch Raptor. Model the flowchart. Execute the flowchart. Enter N.	10	385	To be filled after executing the flowchart. The actual result should match the expected result.

Sample Output

Raptor Flowchart Run

Series= 1
Series= 1 4
Series= 1 4 9
Series= 1 4 9 16
Series= 1 4 9 16 25
Series= 1 4 9 16 25 36
Series= 1 4 9 16 25 36 49
Series= 1 4 9 16 25 36 49 64
Series= 1 4 9 16 25 36 49 64 81
Series= 1 4 9 16 25 36 49 64 81 100

Sum of squares:385

That’s it. We have successfully created a flowchart to compute the sum of squares of the first N natural numbers using the RAPTOR flowchart software.

The more advanced flowchart is to compute the squares of the user-given numbers stored in an array. We can design complex flowcharts using procedures and functions to accomplish the sub-tasks.

https://www.testingdocs.com/sum-of-squares-of-given-array-elements/

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