Question

The sum of 23 consecutive integers is 2323. What is the largest of these 23 integers?

Answer 1

Sum of consecutive integers = n*(n+1) / 2
2,323 = (n^2 +n)/2
4,646 = n^2 + n
n^2 + n -4,646 =0
n = 67.663 which is NOT an integer
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