The cider is treated with light, which keeps it clear. We have occasionally had it begin to get "hard", but I don't recall sediment forming. I agree with the other person's answer. If your bottle is less than 8 weeks old you could call the orchard and ask their advice. In the future, I'd advise freezing a gallon for later consumption. Just open the jug, pour out about a half cup, put the cap back on and freeze. Tastes great anytime.
If it is apple particles, yes. It settles like most fruit juices. However, I haven't known their cider to have much sediment because of the way they process the apples. If the residue you are referring to is milky looking or stringy in appearance it may be bacterial growth and you would not want to consume that. Remember, this is not a pasteurized product. You will need to use your best judgement. I would assume it has been at least 2 months or more since you purchased the cider. So, unless you had it frozen, I would use caution in consuming it.
I have consumed Laurelville apple cider since I was a baby and seen it get cloudy and never had a problem with it. Laurelville apple cider is never made from a concentrate, always made from the best apples around. I am 71 Years old and will buy some today.
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