Design an algorithm that uses a For loop to write the numbers 1 through 10 to a file.

A For loop is a control flow structure used in many programming languages to repeat a certain block of code for a specified number of iterations. In this case, we want to write numbers 1 through 10, so the For loop will iterate 10 times.

To write to a file in a programming language like Python, you can use built-in functions such as `open()`, `write()`, and `close()`. First, you need to open/create the file using `open()` and store the file object in a variable, for example, `file`. Next, use the `write()` method on the `file` variable to write the data, followed by closing the file using the `close()` method to ensure the data is saved properly.

In this step, we will combine the concepts from steps 1 and 2. Begin by creating/opening a new file using the `open()` function and specifying the write mode `w`. Then, use a For loop to iterate through numbers 1 to 10. In each iteration, convert the current number to a string and write it to the file using the `write()` method. Finally, close the file using the `close()` method after the For loop. Here is an example in Python: ```python # Open/create file in write mode. file = open("output.txt", "w") # Iterate through numbers 1 to 10 using a For loop. for number in range(1, 11): # Convert number to string and write to the file. file.write(str(number) + "\n") # We add a newline character (\n) to separate the numbers in the file. # Close the file. file.close() ``` This algorithm will create a file named "output.txt" in the same directory as the script and it will contain the numbers 1 through 10, each on a separate line.