Answer:
See below
Step-by-step explanation:
Problem 1
If n is the smallest of the consecutive integers, the next integer would be n+1.
Problem 2
The equation is terms of n is going to be
s = n + n + 1 + n + 2 + n+3
Problem 3
Collect like terms on the right
s = 4n + 6
Problem 4
4n + 6 = s Subtract 6 from both sides
4n = s - 6 Divide by 4
n = (s - 6)/4
Problem 5
Solve for n when s = 2174
n = (2174 - 6)/4
n = 2168 / 4
n = 542
check
n = 542
n + 1 = 543
n + 2 = 544
n + 3 = 545
Total 2174 Just as it should
