Quick mental method?

Algebra Level 3

200 , 199 , 197 , 194 , 190 -200,\,-199,\,-197,\,-194 ,\, -190 \ldots

The above are the first few terms of a sequence in which the difference between two consecutive terms follow an arithmetic progression .

If the sum of the first n n terms of this sequence is positive, what is the smallest possible value of n n ?


Inspiration .

36 34 None of these 43 35 42

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