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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.

 Apr 11, 2021
 #1
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Series =    22 + 5(n-1)     can be re written as   17 + 5n

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

 

sum = n/2 ( a1 + a28)

           28 / 2 ( 22 + 157)

               = 2506 people

 Apr 11, 2021

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