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Write an algorithm and sketch the flow chart that compute the first a natural number.​

1 Answer

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Final answer:

An algorithm to compute the sum of the first a natural numbers involves initializing a sum to zero, iterating through each number from 1 to a, adding each to the sum, and finally printing the sum. A flowchart would visually represent these steps with decision diamonds and process boxes.

Step-by-step explanation:

The question involves writing an algorithm and creating a flowchart to compute the sum of the first a natural numbers. Assuming a is a positive integer, an algorithm could be as follows:

  1. Start.
  2. Initialize the sum as 0.
  3. Set the counter i to 1.
  4. While i is less than or equal to a, do the following:
  5. Print the sum.
  6. End.

A flowchart for this algorithm would include a start circle, a process box for initializing the sum, a loop beginning with a decision diamond to check if i is less than or equal to a, a process box inside the loop to update the sum and i, and an arrow leading back to the decision diamond until i is greater than a. Finally, there would be a process box to output the sum and an end circle.

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