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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 &lt;= 200):
    print(i)
    i += 20
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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:

  1. First iteration: i = 100
  2. Second iteration: i = 120
  3. Third iteration: i = 140
  4. Fourth iteration: i = 160
  5. Fifth iteration: i = 180
  6. Sixth iteration: i = 200
  7. 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.

This problem has been solved

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