For an=⌊an−1/2⌋a_n = \lfloor a_{n-1} / 2 \rflooran=⌊an−1/2⌋ with a0=1000a_0 = 1000a0=1000, which statement is true?
an=⌊1000/2n⌋a_n = \lfloor 1000 / 2^n \rflooran=⌊1000/2n⌋ and the sequence reaches 0 in finite time
The sequence oscillates indefinitely
an=1000/2na_n = 1000 / 2^nan=1000/2n exactly
The sequence converges to a positive limit