Question

Print numbers from 1 to 1 million.

Short answer

Use a for loop in Python: `for i in range(1, 1000001): print(i)`.

Step-by-step solution

Understand the Problem

The goal is to print all numbers from 1 to 1 million. This exercise involves creating a loop structure to iterate through numbers from 1 up to 1 million.

Choose a Programming Language

Select a programming language that you are comfortable with. For this example, use Python as it provides a simple and readable syntax for loops.

Set Up the Loop

In Python, use a for loop to iterate through the range of numbers. The range function can generate numbers from 1 to 1 million.

Write the Loop Code

Write the for loop: `for i in range(1, 1000001): print(i)`. This code prints each number from 1 to 1 million.

Execute the Code

Run the code in a Python environment to see the output. This will print all numbers from 1 to 1 million to the console.

Key concepts

For Loop

A 'for loop' in Python is a versatile tool used to iterate over a sequence of elements. This sequence can be a list, string, dictionary, or any iterable object. A 'for loop' is particularly helpful when you know the exact number of iterations you need.

For instance, in the given exercise, we need to print numbers from 1 to 1 million, which means we know the iterations required in advance: 1 million. Here’s a simple example to demonstrate a 'for loop':

for i in range(5):
    print(i)

In this example, the loop runs 5 times, printing numbers from 0 to 4. The key here is to understand how the loop runs a fixed number of times, executing the print statement each time.

Range Function

The 'range function' in Python is crucial when working with loops. It generates a sequence of numbers, which you can iterate over using a 'for loop'. The syntax for the range function is:

range(start, stop, step)

Here:

• start: The starting number of the range (inclusive)
• stop: The number at which the range stops (exclusive)
• step: The difference between each number in the sequence (optional)

In the exercise, the range function is set to generate numbers from 1 to 1 million, so we use: range(1, 1000001).

This means the numbers will start from 1 and go up to (but not include) 1,000,001, giving us exactly 1 million numbers.

Iterating Through Numbers

Iteration through numbers using a 'for loop' and the 'range function' is quite straightforward in Python. Iteration means going through elements in a collection one by one. Here’s a breakdown:

• First, create the range of numbers using the range function.
• Next, use a 'for loop' to iterate over this range.
• Inside the loop, perform any action you need, like printing the number in our example.

In the provided solution: for i in range(1, 1000001): print(i),

• The 'range(1, 1000001)' creates a sequence of numbers from 1 to 1 million.
• The 'for loop' iterates through these numbers.
• The 'print(i)' statement prints each number.

By understanding these steps, you can iterate through any range of numbers and perform various actions within the loop.