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. :)

Guest May 9, 2021

#1**+1 **

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 SUM_{of prize money} = 5(1^{stplaceamount} + 1^{stplaceamount} - 200) /2 you can simplify this to

Sum = 5 (2*1st -200)/2

= 5 *1st - 500 dollars

ElectricPavlov May 9, 2021