the formula for an arithmetic sequence that is explicit is
where is the first term (so -1), and d is the common difference (-2). n is the number position in the sequence. As soon as we find the formula or model for this sequence we can find any number term we want. Filling in the formula:
and we'll clean that up just a bit:
(I just distributed through the parenthesis) and a bit more to
If you add 468 (amount of animals already there) and add how ever many more coming (192) then you'll get 680. If you add 100 more that will only be 780 animals.