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 += 20
each 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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