Please answer the following questions to assess your level: How many times is the following loop executed?1234 i=100 while(i<=200): print(i) i+=20
Question
Please answer the following questions to assess your level:
How many times is the following loop executed?
i = 100
while (i <= 200):
print(i)
i += 20
Solution
1. Break Down the Problem
To determine how many times the loop is executed, we need to track the value of i throughout each iteration of the loop as it increases by 20 until it surpasses 200.
2. Relevant Concepts
The loop condition is i <= 200, and in each iteration, i is initialized to 100 and is incremented by 20. We will calculate how many times i can be incremented by 20 before exceeding 200.
3. Analysis and Detail
- Initial value of
i = 100 - Increment:
i += 20each time through the loop
The values of i during each iteration will be:
- First iteration:
i = 100 - Second iteration:
i = 120 - Third iteration:
i = 140 - Fourth iteration:
i = 160 - Fifth iteration:
i = 180 - Sixth iteration:
i = 200 - Seventh iteration:
i = 220(condition fails and loop exits)
4. Verify and Summarize
The loop continues as long as i is less than or equal to 200. We see that the loop runs for 6 iterations (from i = 100 to i = 200), and on the seventh check, i becomes 220, which exits the loop.
Final Answer
The loop is executed 6 times.
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