Answer:
22
Step-by-step explanation:
Using the given expression and the sum, we can set up an equation and solve for the value of 'n':
[tex]\frac{n(n+1)}{2}=253[/tex]
Multiply both sides by '2':
[tex]2(\frac{n(n+1)}{2})=253(2)[/tex]
n(n+1) = 506
Distribute: n² + n - 506 = 0
Factor: (n + 23) (n - 22) = 0
Set each equation equal to '0' and solve:
n + 23 = 0 n - 22 = 0
n = -23 or n = 22
Since the problem says the integers are positive, then n = 22.
