Question

How many times is "Hello" printed by the following system of loops?

for k ← 1 to n do

print "Hello"

for j ← 1 to k do

print "Hello"

a. (n (n+1)) / 2

b. (n (n - 1)) / 2

c. (n (n + 3)) / 2

d. n2 - n

Answer 1

The word "Hello" is printed multiple times in a system of loops. The total number of times it is printed can be calculated using the formula (n(n+1))/2.

Step-by-step explanation:

The system of loops will print the word "Hello" multiple times. Let's break it down:

First, the outer loop runs from 1 to n, where n is the total number of cases. This outer loop will print "Hello" n times.

Inside the outer loop, there is an inner loop that runs from 1 to k, where k is the current iteration of the outer loop. This inner loop will print "Hello" k times.

Therefore, the total number of times "Hello" is printed is the sum of the numbers from 1 to n, which can be calculated using the formula (n(n+1))/2.

So, the correct answer is (a) (n(n+1))/2.