(Numerical)
a. Design, write, compile, and run a C++ program to calculate the sum of the integers from 1 to 100. This is the formula for calculating this sum:
sum = (n/2) (2 . a + (n - 1)d)
n is the number of integers to be added.
a is the first number.
d is the difference between each number.
b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the sum of the integers from 100 to 1000.
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