For how many values of \(x\) from \(1\) to \(300,\) inclusive, is the sum of the integers from \(1\) to \(x,\) inclusive

[VJesus12]

For how many values of \(x\) from \(1\) to \(300,\) inclusive, is the sum of the integers from \(1\) to \(x,\) inclusive, divisible by \(3?\)

(A) 30

(B) 99

(C) 100

(D) 199

(E) 200

Answer: E

Source: Manhattan GMAT