A highschool is having a talent contest and will give different prizes for the bst 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place.
How would you create a model that could be used to determine the total amount of prize money, based on the value of the first place prize?
Thank you in advance. :)
The money amounts form an arithmetic sequence with d = -50 dollars
the SUM of an arithmetic sequence is given by Sn=n(a1+an)/2 where in this case , n = 5 and a1 is the amount given to 1st place and an would be 5thplace (which is $200 less)
so SUMof prize money = 5(1stplaceamount + 1stplaceamount - 200) /2 you can simplify this to
Sum = 5 (2*1st -200)/2
= 5 *1st - 500 dollars