Final answer:
The answer provides a Python script using a while loop to generate and display a sequence of integers alongside their squares in two columns with tabs in between, stopping when the square exceeds 1000.
Step-by-step explanation:
The student's question involves using the Python programming language to create a loop with a while statement that generates a sequence of integers. This loop continues until the square of the current integer exceeds 1000. Then, for each integer, it outputs the integer itself and its square value, formatted with a tab character between them. The problem requires displaying column headers as well. Here is the Python code to achieve the desired result:
# Print column headers
print("Integer\tSquare")
# Initialize the starting integer
integer = 1
# Use a while loop to generate integers and calculate their squares
while integer**2 <= 1000:
print(f"{integer}\t{integer**2}")
integer += 1
This Python script will display the integers in one column and their squares in the second column, using tab characters for separation and will stop when the square of an integer is greater than 1000.