A salesman is paid commission of £10 per week for each life insurance policy that he has sold. Each week he sells one new policy so that he is paid £10 commission in the first week, £20 commission in the second week, £30 commission in the third week and so on.
a) Find his total commission in the first year of 52 weeks: I got £13780 which is correct.
b) In the second year the commission increases to £11 per week on new policies sold, although it remains at £10 per week for policies sold in the first year. He continues to sell one policy per week. Show that he is paid £542 in the second week of his second year. 520 + 22 = 542
c) Find the total commission paid to him in the second year:
stuck on C. i check the solution bank for expanation and it states:
''Total commission for year 2
= Commission for year 1 policies + Commission for year 2 policies
=520 × 52 + (11 + 22+33+..52 × 11).''
I don't understand why it is 520 * 52 for the first year