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

 

What is the total number of people that enter 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 9, 2021
 #1
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On the  28th  day  we  have

 

22  + 5*( 28-1)  =   22 + 5 * 27  =  157   people

 

Sum  of  the series, S,  is

 

S =   ( first term + last term)  * number of terms  /  2   =

 

( 22  + 157)  *  28 /  2   =

 

179  *  14  =

 

2506  =  total people

 

 

cool cool cool

 Apr 9, 2021

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