Iteration
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AP Computer Science Principles › Iteration
A student generates a numeric pattern for a display by iterating a fixed number of steps. Examine the following code snippet:
`result <- ""
FOR (i <- 1; i <= 4; i <- i + 1) // initialization, condition, update
{
result <- result + (i * 2) + " " // append even number and a space
}
PRINT(result) // prints the built sequence`
What is the output of the following loop?
2 4 6 8 10
2 4 6
2 4 6 8
0 2 4 6
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a FOR loop used to generate a sequence of even numbers by multiplying the loop variable by 2. Choice A (2 4 6 8 ) is correct because the loop runs with i values 1, 2, 3, 4, producing 2, 4, 6, 8 with spaces after each number. Choice C (2 4 6 ) is incorrect because it misinterprets the loop condition i <= 4, thinking it stops at i < 4. To help students: Emphasize understanding loop bounds and string concatenation. Practice building output strings step-by-step to visualize the final result.
A student searches a list of usernames to find the first match. Examine the following code snippet:
`names <- "Ava", "Mia", "Noah", "Liam"
target <- "Noah"
index <- 0 // initialization
foundIndex <- -1
WHILE (index < LENGTH(names))
{
IF (namesindex = target)
{
foundIndex <- index // store where it was found
index <- LENGTH(names) // force termination
}
index <- index + 1 // advance each iteration
}
PRINT(foundIndex) // prints index or -1`
What condition causes the loop to terminate?
When index is no longer less than LENGTH(names)
When foundIndex becomes -1
When index equals foundIndex at any time
When target is not in the list
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop used to search for a target value in an array, with early termination when found. Choice B is correct because the loop's primary termination condition is when index is no longer less than LENGTH(names), which occurs either naturally or when forced by setting index to LENGTH(names) after finding the target. Choice A is incorrect because foundIndex becoming -1 doesn't control loop termination - it's just a flag value. To help students: Emphasize understanding loop conditions and how they control execution. Practice identifying all ways a loop can terminate, including both natural progression and forced exits.
A teacher totals quiz points stored in an array using iteration. Examine the following code snippet:
`points <- 4, 6, 3, 7, 5
total <- 0 // accumulator starts at 0
index <- 0 // loop initialization
WHILE (index < LENGTH(points))
{
total <- total + pointsindex // add current element
index <- index + 1 // move to next index
}
PRINT(total) // prints the sum`
What is the output of the following loop?
20
24
25
26
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop used to sum all elements in an array by visiting each index sequentially. Choice A (25) is correct because it accurately reflects the loop's intended function and outcome, as demonstrated by adding 4+6+3+7+5 = 25. Choice B (20) is incorrect because it might result from skipping an element or miscalculating the sum. To help students: Emphasize understanding loop initialization, condition, and iteration process. Practice tracing through loops step-by-step with concrete values to verify the accumulator's final value.
A developer searches a list of error codes and returns the index of a match. Examine the following code snippet:
`codes <- 101, 205, 310, 404
target <- 404
index <- 0
WHILE (index < LENGTH(codes) AND codesindex != target)
{
index <- index + 1 // moves forward until match or end
}
PRINT(index) // prints the index after loop ends`
What condition causes the loop to terminate?
When index is not less than LENGTH(codes) or codes[index] equals target
When codes[index] becomes less than target
When target is assigned the value at codes[index]
When index equals LENGTH(codes) - 1
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop with a compound condition using AND logic to search for a target value. Choice C is correct because the loop terminates when either condition becomes false: when index is not less than LENGTH(codes) OR when codes[index] equals target (making the != comparison false). Choice A is incorrect because it only considers one possible termination scenario. To help students: Emphasize understanding compound boolean conditions with AND/OR logic. Practice evaluating when compound conditions become false to predict loop termination.
A club filters a list of ages to count members who can attend an 18+ event. Examine the following code snippet:
`ages <- 16, 18, 21, 17, 19
count <- 0 // accumulator for qualifying ages
FOR (index <- 0; index < LENGTH(ages); index <- index + 1)
{
IF (agesindex >= 18)
{
count <- count + 1 // increment when criteria met
}
}
PRINT(count) // prints number of qualifying ages`
What is the output of the following loop?
2
3
4
5
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a FOR loop used to count elements in an array that meet a specific criterion (age >= 18). Choice B (3) is correct because it accurately reflects the loop's intended function and outcome, as three ages (18, 21, 19) satisfy the condition ages[index] >= 18. Choice C (4) is incorrect because it might result from misunderstanding the >= operator or counting all non-zero ages. To help students: Emphasize understanding conditional statements within loops. Practice tracing through loops with conditional logic to verify which elements meet the criteria.
A program filters survey responses by iterating through a list, but it fails to progress. Examine the following code snippet:
`responses <- "yes", "no", "yes"
countYes <- 0
index <- 0
WHILE (index < LENGTH(responses))
{
IF (responsesindex = "yes")
{
countYes <- countYes + 1
}
// missing update to index here
}
PRINT(countYes)`
Identify the error in the loop structure that prevents it from functioning as intended.
The condition should use <= instead of <
The loop is missing index <- index + 1
The IF statement must compare with !=
The accumulator must start at 1, not 0
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop that lacks the crucial index update statement, causing an infinite loop. Choice C is correct because the loop is missing 'index <- index + 1', which prevents the index from advancing and the loop condition from ever becoming false. Choice A is incorrect because using '<=' instead of '<' wouldn't fix the infinite loop problem. To help students: Emphasize the importance of loop variable updates to ensure termination. Practice debugging infinite loops by checking that all loop variables progress toward the termination condition.
A student sums daily temperatures to compute a weekly total using iteration. Examine the following code snippet:
`temps <- 70, 72, 68, 75
total <- 0
FOR (i <- 0; i < LENGTH(temps); i <- i + 1)
{
total <- total + tempsi // accumulator adds each temperature
}
PRINT(total) // prints total of all entries`
Which line of code demonstrates the loop's initialization?
i <- i + 1
total <- total + temps[i]
FOR (i <- 0; i < LENGTH(temps); i <- i + 1)
i < LENGTH(temps)
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a FOR loop used to sum temperature values, highlighting the three parts of a FOR loop structure. Choice C is correct because the entire FOR statement 'FOR (i <- 0; i < LENGTH(temps); i <- i + 1)' demonstrates the loop's initialization, including setting i to 0, establishing the condition, and defining the update expression. Choice A is incorrect because it only shows the condition part, not the initialization. To help students: Emphasize understanding the three components of a FOR loop: initialization, condition, and update. Practice identifying each component in various loop structures.
A program computes a factorial by multiplying sequential integers. Examine the following code snippet:
`n <- 5
product <- 1 // accumulator for multiplication
i <- 1 // initialization
WHILE (i <= n)
{
product <- product * i // multiply by current i
i <- i + 1 // update i to approach termination
}
PRINT(product) // prints n!`
How many times does the loop execute?
It executes indefinitely
5 times
4 times
6 times
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop used to calculate factorial by multiplying consecutive integers from 1 to n. Choice B (5 times) is correct because with n=5, the loop executes when i equals 1, 2, 3, 4, and 5, after which i becomes 6 and the condition i <= 5 becomes false. Choice A (4 times) is incorrect because it misinterprets the loop condition, forgetting that i <= n includes the case when i equals n. To help students: Emphasize understanding loop initialization, condition, and iteration process. Practice debugging to identify off-by-one errors and condition misinterpretations.
A student tries to calculate $n!$ with a loop, but the result is incorrect. Examine the following code snippet, where iteration should multiply integers from 1 through n into an accumulator.
n <- 4
product <- 0 // should store running product
FOR i <- 1 TO n
product <- product * i // multiply by i each iteration
END FOR
DISPLAY(product)
The loop runs from 1 to n, updating product each iteration, and then prints the accumulator. The purpose is to compute factorial iteratively, but an error prevents it from functioning as intended.
Examine the following code snippet: Identify the error in the loop structure that prevents it from functioning as intended.
The accumulator should start at 1, not 0
The loop must start with i <- 0, not i <- 1
The loop never terminates because i is not updated
DISPLAY(product) must be inside the loop to work
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a FOR loop attempting to calculate factorial, but with an initialization error in the accumulator variable. Choice A is correct because multiplying by 0 always yields 0, so product remains 0 throughout all iterations (0×1=0, 0×2=0, etc.), preventing the factorial calculation from working. Choice C is incorrect because the FOR loop structure inherently updates i each iteration, showing a misunderstanding of how FOR loops automatically handle counter incrementation. To help students: Emphasize proper accumulator initialization - sum accumulators start at 0, product accumulators start at 1. Practice debugging by tracing values through each iteration to identify where calculations go wrong.
A simple game simulation updates a player’s score each frame until it reaches a goal. Examine the following code snippet, where a WHILE loop iterates to update game state repeatedly.
score <- 0
goal <- 10
WHILE score < goal
score <- score + 2 // earn points each update
END WHILE
DISPLAY(score)
The loop checks score < goal before every iteration, increases score by 2 each time, and terminates once score is no longer less than goal. The purpose is to simulate repeated updates until a stopping condition is met.
Examine the following code snippet: How many times does the loop execute?
The loop executes 4 times
The loop executes 6 times
The loop executes until score equals 12
The loop executes 5 times
Explanation
This question tests understanding of iteration and loop mechanics in programming, a key concept in AP Computer Science Principles. Iteration involves executing a set of instructions repeatedly until a condition is met, crucial for tasks like summing, searching, or generating sequences. The provided code snippet demonstrates a WHILE loop used to simulate game updates, incrementing score by 2 until it reaches or exceeds the goal. Choice B is correct because starting at score=0, the loop adds 2 each iteration (0→2→4→6→8→10), executing exactly 5 times before score=10 fails the condition score<10. Choice A is incorrect because it might come from dividing the goal by the increment (10/2=5) but forgetting to count the actual iterations, or miscounting by starting at 1. To help students: Create tables showing variable values before and after each iteration. Practice determining loop counts for different starting values and increments to build intuition about termination conditions.