Final answer:
The initial value for 'number' that would cause an infinite loop is c. -1, as any negative integer will never satisfy the loop's termination condition, which is for 'number' to equal zero.
Step-by-step explanation:
The student's question asks about a piece of pseudocode and which initial value for the variable number would cause the program to enter an infinite loop. The pseudocode mentioned is a 'Repeat until' loop that continues to execute until the variable 'number' equals 0. Each iteration of the loop decreases 'number' by 1. If the initial value of 'number' is non-positive (i.e., zero or negative), the loop will terminate since the condition 'number equals zero' will eventually be met if 'number' is positive.
However, if 'number' starts as a negative integer, the condition 'number equals zero' will never be met because 'number' will become more negative with each iteration of the loop, moving further away from zero. Therefore, a negative starting value for 'number' would cause an infinite loop. Based on the given options (a. 0, b. 1, c. -1, d. 2), the initial value that would cause an infinite loop is c. -1.