posted by Anonymous .
Randy had a sheep that started eating more and more as each day passed.On July 1,Randy’s sheep ate 5 carrots. On July 2,Randy’s sheep ate 11 carrots. On July 3, the sheep ate 18 carrots. How many carrots will the hungry sheep eat on July 30th?
Note that the differences grow by one each day. That implies a quadratic relationship. In fact
on July nth, the sheep eats n(n+9)/2 carrots.
On July 30, that's 30(39)/2 = 15*39 = 585 carrots