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A mathematician decides to start collecting stamps. They start their collection with 2 5 0 stamps. In the first year they add another 3 0

A mathematician decides to start collecting stamps. They start their collection with 250 stamps. In the first year they add another 30 stamps. Each subsequent year they add a number of stamps to their collection that is 15 more than the number of stamps they added the previous year. That is, in the second year they add 45 to their collection, in the third year they add 60 stamps to their collection, and so on.
(a) How many stamps will be added to the collection in the twenty fifth year?
(b) What will be the total number of stamps in the collection at the end of the twenty fifth year?
A mathematician decides to start collecting

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