Missing Quarters

Algebra Level pending

Annie has a piggy bank full of quarters, her sneaky brother James loves to steal them. He steals 1 on the first day, 2 more on the second day, 3 more on the third, and so on. James is a clumsy kid and loses 1 coin on the fourth day, 2 more on the eighth day, and so on in multiples of 4. How many quarters does he have at the end of the 100th day?

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