On Alice's 11th birthday she started to receive an annual allowance. The first annual allowance was \(\pounds 500\) and on each following birthday the allowance was increased by \(\pounds 200\).
Show that, immediately after her 12th birthday, the total of the allowances that Alice had received was \(\pounds 1200\).
Find the amount of Alice's annual allowance on her 18th birthday.
Find the total of the allowances that Alice had received up to and including her 18th birthday.
When the total of the allowances that Alice had received reached \(\pounds 32000\) the allowance stopped.
Find how old Alice was when she received her last allowance.