题目
Problem
Each year, on her birthday, Ananya receives some money from each of her parents.
On Ananya’s first birthday, her father gives her \10$5$ more than he gave her the previous year.
On Ananya’s first birthday, her mother also gives her \1020%$ more than she gave her the previous year.
(a) Show that on Ananya’s eleventh birthday she receives more from her mother than from her father.
[3]
(b) Find the total amount of money Ananya receives up to and including her eighteenth birthday.
[5]
题目中文翻译
每年生日时，Ananya 都会从父母双方各收到一些钱。
在 Ananya 的第一个生日，她的父亲给她 \10$5$。
在 Ananya 的第一个生日，她的母亲也给她 \1020%$。
(a) 证明在 Ananya 的第 11 个生日，她从母亲那里收到的钱比从父亲那里收到的多。
(b) 求 Ananya 到第 18 个生日（含第 18 个生日）为止收到的总金额。