Final answer:
A simple program in Python, for instance, initializes a sum variable, iterates over the numbers 1 to 15 with a for loop, and adds each number to the sum, which is then printed out.
Step-by-step explanation:
Program to Calculate Sum from 1 to 15
To calculate the sum of numbers from 1 to 15 using a loop, you can write a simple program in many programming languages. Here is an example in Python:
sum = 0
for number in range(1, 16):
sum += number
print('The sum of numbers from 1 to 15 is:', sum)
This program initializes a variable sum to 0 and then iterates over a range of numbers from 1 to 15 inclusive. During each iteration of the loop, the current number is added to the sum. After the loop completes, the sum is printed out.