Counted repetition

A counted loop repeats its body a specified number of times. Record state after each repetition and keep initialization separate from repeated work. An accumulator such as total or count usually starts before the loop so each iteration builds on the previous state rather than discarding it.

The position of output and return statements matters. Displaying inside a loop produces a sequence of intermediate outputs; displaying after it produces a final result. A zero repetition count does no body work, so a defined initial value can still provide a useful result if the contract allows that input.

total←0; REPEAT 4 TIMES{total←total+3}; DISPLAY(total).

1. After iterations 1 and 2,total is 3 then 6.
2. After iterations 3 and 4,total is 9 then 12.
3. DISPLAY after the loop shows 12 once; resetting total inside would produce a different result.

Claim: Initialization inside the loop is equivalent to initialization before it.

Resetting an accumulator discards earlier iterations’ contributions.

Move total←0 inside the body and predict the final result after four iterations.

Work with a partner. Make a prediction, compare your reasoning, then identify the rule that supports your answer.

Predict the original programme with 0 repetitions.

What output changes if DISPLAY(total) moves inside the original body?

Write your reasoning before comparing with a classmate. If your teacher assigned this task, submit it through My classes to save your work and receive feedback.