Mathematics 9709 · AS & A Level · Series

Series — practice question

On her birthday each year, Ananya is given some money by each parent. For Ananya’s first birthday, her father gives her $\$10$. In every later year, he increases this by $\$5$ compared with the previous year. For Ananya’s first birthday, her mother also gives her $\$10$. In every later year, she increases this by $20\%$ compared with the previous year.
(a)[3]

Show that, on Ananya’s eleventh birthday, the amount she gets from her mother is greater than the amount she gets from her father.

(b)[5]

Find the total amount of money Ananya has received up to and including her eighteenth birthday.

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