The number of people that enter the contest the 1st day is 22. The 2nd day 27 people enter, and 32 people entered on the 3rd day. This pattern continues and the contest last 28 days.

What is the total number of people that entered the contest? Write the arithmetic series formula you used to determine the total number of people and show all steps used to find the solution.

luckystar042003 Apr 11, 2021

#1**+1 **

Series = 22 + 5(n-1) can be re written as 17 + 5n

on day 28 value = 17+ 5 (28) =157 people

sum = n/2 ( a_{1} + a_{28})

28 / 2 ( 22 + 157)

= 2506 people

ElectricPavlov Apr 11, 2021