Ahmed plans to save \(\pounds 250\) in the year 2001, \(\pounds 300\) in 2002, \(\pounds 350\) in 2003, and so on until the year 2020. His planned savings form an arithmetic sequence with common difference £50.
Find the amount he plans to save in the year 2011.
Calculate his total planned savings over the 20 year period from 2001 to 2020.
Ben also plans to save money over the same 20 year period. He saves \(\pounds A\) in the year 2001 and his planned yearly savings form an arithmetic sequence with common difference \(\pounds 60\).
Given that Ben's total planned savings over the 20 year period are equal to Ahmed's total planned savings over the same period,