Hello, could you help me? Read a program We consider the following algorithm in which n denotes a natural number. r <— n As long as r > equal to 5 r <— r -5 End while 1. What value does r take at the end of the algorithm? rhythm if we give n the value 8? 2. Quote two integers which give at the end of the algorithm the same r value. 3. What does the r value obtained at the end of the algorithm represent compared to n? Thanks in advance!

1 answer

1. Given that r initial value is set to n, and the algorithm continuously subtracts 5 from r as long as r is greater than or equal to 5, the value of r at the end of the algorithm would be 3. This is because once r becomes less than 5, the algorithm will stop subtracting 5 from it.

2. Two integers that would give the same final value of r are 8 and 13. If n is initially 8, then r would be 3 at the end of the algorithm. Similarly, if n is initially 13, r would also be 3 at the end.

3. The value of r obtained at the end of the algorithm represents the remainder when n is divided by 5. In other words, it represents the difference between n and the largest multiple of 5 that is less than or equal to n.